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Chapter 9: Q. 9.60 (page 901)

Solve :- x4-11x2+28=0

Short Answer

Expert verified

Solution for equation will be -

x=+7

x=-7

x=+2

x=-2

Step by step solution

01

Step 1.  Given Data

Quadratic Equation =x4-11x2+28=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 x2=u

Then the equation is -

(x2)2-11x2+28=0

Put the value of x2=u

u2-11u+28=0

(u-7)(u-4)=0

By using Zero product property -

u-7=0,u-4=0u=7,u=4

04

Step 4.  Calculation

Replace u with x2

x2=7, x2=4

localid="1644920295156" x=卤7, x=卤4

x=卤7, x=卤2

There are four solutions -

  • x=+7
  • x=-7
  • x=-2
  • x=+2

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