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 87E
To determine

Find the real solutions of equation.

Expert Solution

Answer to Problem 87E

  x=100,x=50

Explanation of Solution

Given information:

  x2x+100=50

Formula used: -

First, we will solve this equation by cross multiplication method and then we will find value of x.

  x=b±b24ac2a

  x2x+100=50

Now by applying cross multiplication method:

  x2=50x+5000x250x5000=0

Now applying quadratic formula:

  x=b±b24ac2a In equation x250x5000=0

Here a=1,b=50,c=5000

  x=(50)±(50)24(1)(5000)2(1)x=50±2500+200002x=50±225002x=50±1502

  x=50+1502,x=501502x=2002,x=1002x=100,x=50

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