# To find the real solutions of equation 4 x 3 − 25 x = 0 . ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### 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 4x3−25x=0 .

Expert Solution

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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