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Chapter 9: Q. 1 (page 869)

Solve Quadratic Equations of the Form ax2=kUsing the Square Root Property.

In the following exercises, solve each equationa2=49

Short Answer

Expert verified

The solution of the quadratic equation:

a=7,a=-7

Step by step solution

01

Given information

Consider the quadratic equation a2=49

The objective is to solve the quadratic equation by using the square root property.

If x2=k, then x=卤k

So, a=卤49

Simplify the radical.

a=卤7路7a=卤7

Rewrite to show two solutions.

a=7,a=-7

02

Check the solutions

Substitute a=7in the original equation.

a2=49(7)2=?4949=49

Substitute role="math" localid="1645617109232" a=-7in the original equation.

a2=49(-7)2=?4949=49

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