Solve the quadratic equation using square root property: {eq}(5x + 3)^2 = 81 {/eq}.

## Question:

Solve the quadratic equation using square root property: {eq}(5x + 3)^2 = 81 {/eq}.

## Square Root Property:

The Square Root Property can be applied to solve a quadratic equation. The Square Root Property states that if the quadratic equation written as, {eq}\displaystyle (ax+b)^2=c {/eq}, then {eq}\displaystyle ax+b=+\sqrt{c} \text{ or } ax+b=-\sqrt{c} {/eq}. From there, solve for the values of the variable. Not that, if the value of {eq}\displaystyle c {/eq} is zero, then there is 1 real root. If the value of {eq}\displaystyle c {/eq} greater than zero, then there are 2 real roots, but if If the value of {eq}\displaystyle c {/eq} is less than zero, then there are 2 imaginary roots.

## Answer and Explanation: 1

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View this answerApply the Square Root Property:

{eq}\text{if } \displaystyle (ax+b)^2=c {/eq}, then {eq}\displaystyle ax+b=+\sqrt{c} \text{ or }...

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Chapter 2 / Lesson 8Learn about the Square Root Property, its formula, and how to use it to solve quadratics.