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Chapter 9: Q. 163 (page 906)

In the following exercises, solve.(x-3)2-5(x-3)-36=0

Short Answer

Expert verified

Solution for equation will be

  • x=12
  • x=(-1)

Step by step solution

01

Step 1.  Given Data 

Quadratic Equation is(x-3)2-5(x-3)-36=0

02

Step 2.  To Find  

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

03

Step 3.  Explanation 

Let the value of (x-3)=u

Then the equation is -

(x-3)2-5(x-3)-36=0

Put the value of (x-3)=u

u2-5u-36=0

(u-9)(u+4)=0

By using Zero product property -

u-9=0, u+4=0

u=9, u=(-4)

04

Step 4.  Calculation 

Replace u with (x-3)

x-3=9, x-3=-4

x=9+3, x=-4+3

x=12, x=(-1)

There are two solutions -

  • x=12
  • x=(-1)

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