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Chapter 9: Q.7 (page 869)

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

In the following exercises, solve each equation4m2=36

Short Answer

Expert verified

The solution of the quadratic equation: m=3,m=-3

Step by step solution

01

Step 1. Given information

Consider the quadratic equation 4m2=36

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

If x2=k, then x=卤k

The quadratic term is isolated. Divide by 4 to make its coefficient 1.

4m24=364m2=9

02

Step 2. Apply square root property   

So, m=卤9

Simplify the radical.

m=卤3路3m=卤3

Rewrite to show two solutions.

m=3,m=-3

03

Step 3. Check the solutions  

Substitute m=3in the original equation.

4m2=364(3)2=?364(9)=?3636=36

Substitute m=-3in the original equation.

4m2=364(-3)2=?364(9)=?3636=36

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