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Chapter 9: Q. 3 (page 869)

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

In the following exercises, solve each equation r2-24=0

Short Answer

Expert verified

The solution of the quadratic equation: r=26,r=-26

Step by step solution

01

Step 1. Given information

Consider the quadratic equation r2-24=0

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

If x2=k, then x=卤k.

Isolate the quadratic term and make its coefficient one. Add 24 to both sides

r2=24

02

Step 2. Apply square root property

So, r=卤24

Simplify the radical.

r=卤4路6r=卤26

Rewrite to show two solutions.

r=26,r=-26

03

Step 3. Check the solutions

Substitute r=26in the original equation.

r2-24=0(26)2-24=?024-24=?00=0

Substitute r=-26in the original equation.

r2-24=0(-26)2-24=?024-24=?00=0

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