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Chapter 9: Q. 162 (page 906)

In the following exercises, solve. 3x4-14x2+8=0

Short Answer

Expert verified

Solution for equation will be

  • x=+2
  • x=-2
  • x=+23
  • x=-23

Step by step solution

01

Step 1.  Given Data

Quadratic Equation is3x4-14x2+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 x2=u

Then the equation is -

3x4-14x2+8=0

3(x2)2-14x2+8=0

Put the value of x2=u

3u2-14u+8=0

(u-4)(u-23)=0

By using Zero product property -

u-4=0, u-23=0

u=4, u=23

04

Step 4.  Calculation

Replace u with x2

x2=4, x2=23

Using the square root property -

x=卤4, x=卤23

x=卤2, x=卤23

There are four solutions -

x=+2

x=-2

x=+23

x=-23

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