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Chapter 10: Q 56 (page 1166)

Explain why the equationy2+8=12has two solutions.

Short Answer

Expert verified

The solutions of equation is y=-2,2.

Both values satisfies the equation, that shows the equation has two solutions.

Step by step solution

01

Given Information.    

The Given equation isy2+8=12.

02

Isolate the quadratic term and makes its coefficient one.     

y2=12-8y2=4

03

Use the Square Root Property.    

y=卤4y=卤2

04

Check the solutions.

y2+8=12(2)2+8=1?24+8=1?212=12

Similarly substitute y=-2

y2+8=12(-2)2+8=1?24+8=1?212=12

Both values -2,2satisfies the equation.

This shows the equation has two solutions.

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