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 90E
To determine

Find the real solutions of equation.

Expert Solution

Answer to Problem 90E

  x=4,x=73

Explanation of Solution

Given information:

  x2x+7x+1x+3=1

Formula used: -

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

  x=b±b24ac2a

  x2x+7x+1x+3=1

Now by applying cross multiplication method:

  x2x+7x+1x+3=1x2+3x(2x2+2x+7x+7)(2x+7)(x+3)=1x26x7=2x2+13x+21=3x2+19x+28=0

Now applying quadratic formula:

  x=b±b24ac2a In equation 3x2+19x+28=0

Here a=3,b=19,c=28

  x=(19)±(19)24(3)(28)2(3)x=19±3613366x=19±256x=19±56

  x=1956,x=19+56x=4,x=73x=4,x=73

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