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Chapter 9: Q. 174 (page 906)

In the following exercises, solve. x+4x-21=0

Short Answer

Expert verified

Solution for equation will be

  • x=9
  • x=49

Step by step solution

01

Step 1.  Given Data 

Quadratic Equation isx+4x-21=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+4x-21=0

(x)2+4x-21=0

Put the value of x=u

u2+4u-21=0

(u-3)(u+7)=0

By using Zero product property -

u-3=0, u+7=0

u=3, u=-7

04

Step 4.  Calculation

Replace u with x

x=3, x=-7

Solve for x, by squaring both sides

x=9, x=49

There are two solutions -

  • x=9
  • x=49

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