What are the solutions to the equation x^3=15x+4 ?

The solutions to the equation x^3=15x+4 are x=4,x=-2+sqrt(3),x=-2-sqrt(3)

Find the zeros of x^3=15x+4

The zeros of x^3=15x+4 are x=4,x=-2+sqrt(3),x=-2-sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{3} = 15 x + 4

x = 4, x = - 2 + 3, x = - 2 - 3

Decimal Notation

x = 4, x = - 0.26794 \dots, x = - 3.73205 \dots

Solution steps

x^{3} = 15 x + 4

Move

4

to the left side

x^{3} - 4 = 15 x

Move

15 x

to the left side

x^{3} - 4 - 15 x = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

x^{3} - 15 x - 4 = 0

Factor

x^{3} - 15 x - 4 : (x - 4) (x^{2} + 4 x + 1)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 4 = 0 : x = 4

Solve

x^{2} + 4 x + 1 = 0 : x = - 2 + 3, x = - 2 - 3

The solutions are

x = 4, x = - 2 + 3, x = - 2 - 3

x - x^{4} = 0

x^{3} - 8 x^{2} + 17 x - 4 = 0

6 x^{3} + 9 x^{2} + 4 x + 6 = 0

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

- x^{3} - 3 x^{2} + 9 x + 27 = 0

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