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 96E
To determine

Find the real solutions of equation.

Expert Solution

Answer to Problem 96E

  x=1,x=1x=2,x=2

Explanation of Solution

Given information:

  x45x2+4=0

Formula used: -

  x=b±b24ac2a

  x45x2+4=0

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

  z25z+4=0

Now, solving the equation by Factorization method:

  z25z+4=0z24zz+4=0z(z4)1(z4)=0(z4)(z1)=0

  z=1,z=4

Now substituting value of z=x2 in place of z

  x2=1,x2=4x=±1,x=±2x=1,x=1x=2,x=2

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