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Chapter 9: Q. 161 (page 906)

In the following exercises, solve. 2x4-7x2+3=0

Short Answer

Expert verified

Solution for equation will be

  • x=+3
  • x=-3
  • x=+12
  • x=-12

Step by step solution

01

Step 1.  Given Data

Quadratic Equation is 2x4-7x2+3=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 -

2x4-7x2+3=0

2(x2)2-7x2+3=0

Put the value of x2=u

2u2-7u+3=0

(u-3)(u-12)=0

By using Zero product property -

u-3=0, u-12=0

u=3, u=12

04

Step 4.  Calculation

Replace u with x2

x2=3, x2=12

Using the square root property -

x=卤3, x=卤12

There are four solutions -

  • x=+3
  • x=-3
  • x=+12
  • x=-12

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