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 73RE
To determine

To find the real solutions of equation 4x325x=0 .

Expert Solution

Answer to Problem 73RE

The solution is x=0,52,52 .

Explanation of Solution

Given information:

  4x325x=0

Formula used:

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

Sum and product of same terms:- a2b2=(a+b)+(ab)

Calculations:

  =4x325x=0

  =x(4x225)=0 (Taking x common)

  =x{(2x)2(5)2}=0

  =x{(2x+5)(2x5)}=0

  =x(2x+5)(2x5)

Now,

  x=0 or

  2x+5=02x=5x=52 or

  2x5=02x=5x=52

The solution of the equation is x=0,52,52 .

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