BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.5, Problem 97E
To determine

Find the real solutions of equation.

Expert Solution

Answer to Problem 97E

  x=2+22,x=2+22x=222,x=222

Explanation of Solution

Given information:

  2x4+4x2+1=0

Formula used: -

  x=b±b24ac2a

  2x4+4x2+1=0

Assuming x2=z in above equation, new equation will be:

  2z2+4z+1=0

Now using x=b±b24ac2a in the equation 2z2+4z+1=0

  a=2,b=4,c=1

  z=4±424(2)(1)2(2)z=4±1684z=4±224z=2+22,z=222

Now substituting value of z=x2 in place of z

  x2=2+22,x2=222

  x=2+22,x=2+22x=222,x=222

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!