# Solving quadratic equations square root property

## Solving quadratics by taking square roots Solving quadratic equations by square roots - Algebra II - Khan Academy

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Square Roots and Completing the Square. Learning Objective s. Quadratic equations can be solved in many ways. You may already be familiar with factoring to solve some quadratic equations. However, not all quadratic equations can be factored.

Quadratic equations are equations of the form , where. They differ from linear equations by including a term with the variable raised to the second power. We use different methods to solve quadratic equation s than linear equations, because just adding, subtracting, multiplying, and dividing terms will not isolate the variable. We have seen that some quadratic equations can be solved by factoring. In this chapter, we will use three other methods to solve quadratic equations.

That implies no presence of any x term being raised to the first power somewhere in the equation. Then solve the values of x by taking the square roots of both sides of the equation. I will leave it to you to verify. This problem is very similar to the previous example. My approach is to collect all the squared terms of x to the left side, and combine all the constants to the right side.

Let's take another look at that last problem on the previous page:. On the previous page, I'd solved this quadratic equation by factoring the difference of squares on the left-hand side of the equation, and then setting each factor equal to zero, etc, etc. I can also try isolating the squared-variable term on the left-hand side of the equation that is, I can try getting the x 2 term by itself on one side of the "equals" sign , by moving the numerical part that is, the 4 over to the right-hand side, like this:. Solving by Taking Square Roots. When I'm solving an equation, I know that I can do whatever I like to that equation as long as I do the exact same thing to both sides of that equation. On the left-hand side of this particular equation, I have an x 2 , and I want a plain old x. To turn the x 2 into an x , I can take the square root of each side of the equation, like this:.

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## How to Solve Quadratic Equations using the Square Root Method

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## Solving Quadratics by the Square Root Property

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