## What is 2x 2 3x 2 2 0 by completing the square?

Answer: **Value of x is 8 and -1/√2**.

**What is the root of 2x 2 3x 2 0?**

So, the equation has 2 distinct real roots. Therefore, the roots of the equation are **-1/2 and 2**.

**How many solutions does 2x2 3x 2 0 have?**

So, generally, there will be **two solutions**.

**What are the roots of the quadratic equation x2 − 3x 2 0 using factorisation method?**

Therefore, **1 and 2** are the roots of the equation x2−3x+2=0.

**How do you solve an equation by squaring?**

**Steps to Solving Equations by Completing the Square**

- Rewrite the equation in the form x
^{2}+ bx = c. - Add to both sides the term needed to complete the square.
- Factor the perfect square trinomial.
- Solve the resulting equation by using the square root property.

**How do you solve the complete square method?**

Step 1: Write the equation in the form, such that c is on the right side. Step 2: If a is not equal to 1, divide the complete equation by a such that the coefficient of x^{2} will be 1. Step 3: Now add the square of half of the coefficient of term-x, (b/2a)^{2}, on both sides.

**What is the sum of the roots of the equation x2 3x 2 0?**

∴ The sum of the roots of this equations is **3**.

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**What are the roots of the quadratic equation 2x² √ √ 5x 2 0 Using the quadratic formula?**

Solution: Given, the quadratic equation is 2x² - √5x - 2 = 0. We have to determine the roots of the quadratic equation. Therefore, the roots are **(√5 + √21)/4 and (√5 - √21)/4**.

**How many real roots does the equation has x2 3x 2 0?**

∴The number of real roots of the given equation is **4**. Q.

**How many solutions are there to an equation?**

A system of linear equations **usually has a single solution**, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).

## What equation has two solutions?

**A quadratic equation with real or complex coefficients** has two solutions, called roots.

**How do I solve quadratic equations by factoring?**

**To solve an quadratic equation using factoring :**

- 1 . Transform the equation using standard form in which one side is zero.
- 2 . Factor the non-zero side.
- 3 . Set each factor to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero).
- 4 . Solve each resulting equation.

**What is the step of solving quadratic equation by factoring?**

To solve a quadratic equation by factoring, **Put all terms on one side of the equal sign, leaving zero on the other side.** **Factor.** **Set each factor equal to zero**.

**How would you solve quadratic equations by factoring?**

To solve a quadratic equation by factoring, **arrange all the terms on one side of the equation so the other side equals 0, factor the expression, set each factor equal to 0 and solve each equation**.

**What are the 4 methods of solving quadratic equations?**

The four methods of solving a quadratic equation are **factoring, using the square roots, completing the square and the quadratic formula**.

**What is the 3 method for squaring?**

To get a perfectly square corner, you want to **aim for a measurement ratio of 3:4:5**. In other words, you want a three-foot length on your straight line, a four-foot length on your perpendicular line, and a five-foot length across. If all three measurements are correct, you'll have a perfectly square corner.

**How to find square root?**

**Square Root**

- Square root of a number is a value, which on multiplication by itself, gives the original number. ...
- Suppose x is the square root of y, then it is represented as x=√y, or we can express the same equation as x
^{2}= y.

**How do you find the roots of a function?**

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we **set f (x) = 0, and solve the equation,** **ax ^{2} + bx + c = 0**.

**What is the formula to find roots of quadratic equation?**

The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: **(-b±√(b²-4ac))/(2a)** .

**How do you find the sum of the roots of an equation?**

Thus we can express the sum of the roots in terms of the coefficients a,b,c of the quadratic as **α+β=−ba**. In the case when the quadratic does not cross the x-axis, the corresponding quadratic equation ax2+bx+c=0 has no real roots, but it will have complex roots (involving the square root of negative numbers).

## How do you solve quadratic equation with that has a square root?

To solve quadratic equations by the square root method, **isolate the squared term and the constant term on opposite sides of the equation.** **Then take the square root of both sides, making the side with the constant term plus or minus the square root**.

**How do you find the roots of a quadratic equation with two variables?**

Ans. The standard form of the formula that is used for solving the quadratic equation is ax2 + bx + c = 0. In addition, the discriminant of the equation of quadratic one is D = b2 – 4ac. With the roots β and α, the equation will be **x2 – (α + β)x + αβ = 0**.

**What is 2x 2 12x 4 0 completing the square?**

The solutions to the equation 2x2 - 12x - 4 = 0 are **x = 3 ± √(11)**.

**What is the product of the 2 solutions of the equation x2 3x − 21 0?**

In the equation, x2+3x−21=0 , sum of the two solutions is −31=−3 and product of the two solutions is **−211=−21** .

**Is the following a quadratic equation x² 2x ² x² 3 4x³?**

The degree of the equation is 2. Therefore, **(x² + 2x)² = x⁴ + 3 + 4x³ is a quadratic equation**.

**How do I solve by factoring?**

**The Solve by Factoring process will require four major steps:**

- Move all terms to one side of the equation, usually the left, using addition or subtraction.
- Factor the equation completely.
- Set each factor equal to zero, and solve.
- List each solution from Step 3 as a solution to the original equation.

**Can you simplify 2x squared?**

Answer and Explanation: 2x squared, denoted (2x)2, is equal to 4x2.

**How to solve quadratic equations by completing the square questions?**

To solve quadratic equations by completing the square, divide all the terms by the lead coefficient when it is not equal to 1, isolate the variable terms on one side of the equation and the constant terms on the other, complete the square on the variable side, and then take the square root of both sides.

**How can you solve quadratic equation using quadratic formula?**

The quadratic formula helps us solve any quadratic equation. **First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients.** **Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a)** . See examples of using the formula to solve a variety of equations.

**What are the solutions of the equation x4 plus 3x 2 +2 0?**

Summary: The solutions of the equation x^{4} + 3x^{2} + 2 = 0 are **x = i, -i, i√2, -i√2**.

## What are the factors of the expression x2 3x +2?

=**(x+2)(x+1)**

**What is the solution of two equations?**

In general, a solution of a system in two variables is **an ordered pair that makes BOTH equations true**. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system.

**Does the following equation has no real roots x² 4x 3 √ 2 0?**

Summary: The equation **x² - 4x + 3√2 = 0 has no real roots**.

**Is the following a quadratic equation 2x X² X² 5?**

This equation has a degree of two, therefore **it is a quadratic equation**.

**Can a quadratic equation have 2 answers?**

**A quadratic equation with real or complex coefficients has two solutions, called roots**. These two solutions may or may not be distinct, and they may or may not be real.