What are the solutions to the equation 16x^3+64x^2-25x-100=0 ?

The solutions to the equation 16x^3+64x^2-25x-100=0 are x=-4,x=-5/4 ,x= 5/4

Find the zeros of 16x^3+64x^2-25x-100=0

The zeros of 16x^3+64x^2-25x-100=0 are x=-4,x=-5/4 ,x= 5/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

16 x^{3} + 64 x^{2} - 25 x - 100 = 0

x = - 4, x = - \frac{5}{4}, x = \frac{5}{4}

Decimal Notation

x = - 4, x = - 1.25, x = 1.25

Solution steps

16 x^{3} + 64 x^{2} - 25 x - 100 = 0

Factor

16 x^{3} + 64 x^{2} - 25 x - 100 : (x + 4) (4 x + 5) (4 x - 5)

(x + 4) (4 x + 5) (4 x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 4 = 0 or 4 x + 5 = 0 or 4 x - 5 = 0

Solve

x + 4 = 0 : x = - 4

Solve

4 x + 5 = 0 : x = - \frac{5}{4}

Solve

4 x - 5 = 0 : x = \frac{5}{4}

The solutions are

x = - 4, x = - \frac{5}{4}, x = \frac{5}{4}

2 x^{4} - 4 x^{2} + 1 = 0

(x - 3)^{4} - 30 = 0

x^{3} + 3 x^{2} + 2 x + 7 = 0

\frac{1}{2} x^{3} + 3 x - 4 = - 2

0 = x^{3} - 2 x^{2} - 3 x

What are the solutions to the equation 16x^3+64x^2-25x-100=0 ?
The solutions to the equation 16x^3+64x^2-25x-100=0 are x=-4,x=-5/4 ,x= 5/4
Find the zeros of 16x^3+64x^2-25x-100=0
The zeros of 16x^3+64x^2-25x-100=0 are x=-4,x=-5/4 ,x= 5/4