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Chapter 9: Q. 9.62 (page 902)

Solve :- (y-4)2+8(y-4)+15=0

Short Answer

Expert verified

Solution for equation will be -

  • y=1
  • y=-1

Step by step solution

01

Step 1.  Given Data

Quadratic Equation - (y-4)2+8(y-4)+15=0

02

Step 2.  To Find

We have to solve it and find the value of y.

03

Step 3.  Explanation

Let the value of (y-4)=u

Then the equation is -

(y-4)2+8(y-4)+15=0

Put the value of (y-4)=u

u2+8u+15=0

(u+3)(u+5)=0

By using zero product property -

u+3=0, u+5=0

u=-3, u=-5

04

Step 4.  Calculation

Replace u with (y-4)

y-4=-3, y-4=-5

y=-3+4, role="math" localid="1644992371426" y=-5+4

y=1, y=-1

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