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Chapter 9: Q. 9.64 (page 903)

Solve :- x-6x+8=0

Short Answer

Expert verified

Solution for equation will be -

  • x=16
  • x=4

Step by step solution

01

Step 1.  Given Data

Quadratic Equation - x-6x+8=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=u

Then the equation is -

x-6x+8=0

(x)2-6x+8=0

Put the value of x=u

u2-6u+8=0

(u-4)(u-2)=0

By using zero product property -

u-4=0, u-2=0

u=4, u=2

04

Step 4.  Calculation

Replace u with x

x=4, x=2

Do square both side -

(x)2=42, (x)2=22

x=16, x=4

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