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Chapter 9: Q.10 (page 869)

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

In the following exercises, solve each equation53y2=60.

Short Answer

Expert verified

The solution of the quadratic equation:y=6,y=-6

Step by step solution

01

Step 1. Given information

Consider the quadratic equation 53y2=60

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 35to make its coefficient 1.

3553y2=3560y2=36

02

Step 2. Apply square root property    

So, y=卤36

Simplify the radical.

y=卤6路6y=卤6

Rewrite to show two solutions.

y=6,y=-6

03

Step 3. Check the solutions  

Substitute y=6in the original equation.

role="math" localid="1645638013278" 53y2=6053(6)2=?6053(36)=?6060=60

Substitute y=-6in the original equation.

53y2=6053(-6)2=?6053(36)=?6060=60

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