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Chapter 6: Q. 428 (page 636)

In the following exercises, solve.

y2-y-72=0

Short Answer

Expert verified

Answer isy=-8,y=9

Step by step solution

01

Step 1. Given

The quadratic equation isy2-y-72=0

02

Step 2. Simplify the quadratic equation

y2-y-72=0y2-9y+8y-72=0y(y-9)+8(y-9)=0(y-9)(y+8)=0

So,

y-9=0y=9

and

y+8=0y=-8

03

Step 3. Check both the values

Put y=9in original equation,

y2-y-72=092-9-72=081-9-72=00=0

True

Now put y=-8in original equation,

y2-y-72=0(-8)2-(-8)-72=064+8-72=00=0

True

04

Step 4. Required answer

Answer isy=-8,y=9

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