What are the solutions to the equation -x^3+8x-3=0 ?

The solutions to the equation -x^3+8x-3=0 are x=-3,x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2

Find the zeros of -x^3+8x-3=0

The zeros of -x^3+8x-3=0 are x=-3,x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

- x^{3} + 8 x - 3 = 0

x = - 3, x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

Decimal Notation

x = - 3, x = 2.61803 \dots, x = 0.38196 \dots

Solution steps

- x^{3} + 8 x - 3 = 0

Factor

- x^{3} + 8 x - 3 : - (x + 3) (x^{2} - 3 x + 1)

- (x + 3) (x^{2} - 3 x + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 3 = 0 or x^{2} - 3 x + 1 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x^{2} - 3 x + 1 = 0 : x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

The solutions are

x = - 3, x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

8 x^{7} - 7 x^{8} = 0.75

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

(8 + x)^{3} = 64

0 = 2 x^{(3)} + x^{(2)} + 2 x - 1

m^{3} = 125

What are the solutions to the equation -x^3+8x-3=0 ?
The solutions to the equation -x^3+8x-3=0 are x=-3,x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2
Find the zeros of -x^3+8x-3=0
The zeros of -x^3+8x-3=0 are x=-3,x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2