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 95E
To determine

Find the real solutions of equation.

Expert Solution

Answer to Problem 95E

  x=5,x=5x=22,x=22

Explanation of Solution

Given information:

  x413x2+40=0

Formula used: -

  x=b±b24ac2a

  x413x2+40=0

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

  z213z+40=0

Now, solving the equation by Factorization method:

  z213z+40=0z28z5z+40=0z(z8)5(z8)=0(z8)(z5)=0

  z=5,z=8

Now substituting value of z=x2 in place of z

  x2=5,x2=8x=±5,x=±22x=5,x=5x=22,x=22

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