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, Problem 74RE
To determine

To find the real solutions of equation x32x25x+10=0 .

Expert Solution

Answer to Problem 74RE

The solution is x=2,±5 .

Explanation of Solution

Given information:

  x32x25x+10=0

Formula used:

Zero-Product Property:- AB=0 if and only if A=0 or B=0

Calculations:

  =x32x25x+10=0

  =x2(x2)5(x2)=0 (Taking x2 and 5 common)

  =(x2)(x25)=0

Now,

  x2=0x=2 or

  x25=0x2=5x=±5 or

The solution of the equation is x=2,±5 .

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