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Chapter 9: Q. 172 (page 906)

In the following exercises, solve. x-8x+15=0

Short Answer

Expert verified

Solution for equation will be

  • x=25
  • x=9

Step by step solution

01

Step 1.  Given Data 

Quadratic Equation isx-8x+15=0

02

Step 2.  To Find 

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

03

Step 3.  Explanation

Let the value ofx=u

Then the equation is -

x-8x+15=0

(x)2-8x+15=0

Put the value of x=u

u2-8u+15=0

(u-5)(u-3)=0

By using Zero product property -

u-5=0, u-3=0

u=5, u=3

04

Step 4.  Calculation

Replace u with x

x=5, x=3

Solve for x, by squaring both sides

x=25, x=9

There are two solutions -

  • x=25
  • x=9

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