What are the solutions to the equation 4x^3+5x^2-60x-75=0 ?

The solutions to the equation 4x^3+5x^2-60x-75=0 are x=-5/4 ,x=-sqrt(15),x=sqrt(15)

Find the zeros of 4x^3+5x^2-60x-75=0

The zeros of 4x^3+5x^2-60x-75=0 are x=-5/4 ,x=-sqrt(15),x=sqrt(15)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 x^{3} + 5 x^{2} - 60 x - 75 = 0

x = - \frac{5}{4}, x = - 15, x = 15

Decimal Notation

x = - 1.25, x = - 3.87298 \dots, x = 3.87298 \dots

Solution steps

4 x^{3} + 5 x^{2} - 60 x - 75 = 0

Factor

4 x^{3} + 5 x^{2} - 60 x - 75 : (4 x + 5) (x + 15) (x - 15)

(4 x + 5) (x + 15) (x - 15) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

4 x + 5 = 0 or x + 15 = 0 or x - 15 = 0

Solve

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

Solve

x + 15 = 0 : x = - 15

Solve

x - 15 = 0 : x = 15

The solutions are

x = - \frac{5}{4}, x = - 15, x = 15

(2 - x)^{3} = 0

z^{2} - 6 z + 9 - z^{3} = 0

d^{4} = 4

x, (y + 1)^{3} = x^{3} - 2

\frac{x ^{5}}{9} = 3^{10}

What are the solutions to the equation 4x^3+5x^2-60x-75=0 ?
The solutions to the equation 4x^3+5x^2-60x-75=0 are x=-5/4 ,x=-sqrt(15),x=sqrt(15)
Find the zeros of 4x^3+5x^2-60x-75=0
The zeros of 4x^3+5x^2-60x-75=0 are x=-5/4 ,x=-sqrt(15),x=sqrt(15)