What are the solutions to the equation x^3-7x^2+8x-2=0 ?

The solutions to the equation x^3-7x^2+8x-2=0 are x=1,x=3+sqrt(7),x=3-sqrt(7)

Find the zeros of x^3-7x^2+8x-2=0

The zeros of x^3-7x^2+8x-2=0 are x=1,x=3+sqrt(7),x=3-sqrt(7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{3} - 7 x^{2} + 8 x - 2 = 0

x = 1, x = 3 + 7, x = 3 - 7

Decimal Notation

x = 1, x = 5.64575 \dots, x = 0.35424 \dots

Solution steps

x^{3} - 7 x^{2} + 8 x - 2 = 0

Factor

x^{3} - 7 x^{2} + 8 x - 2 : (x - 1) (x^{2} - 6 x + 2)

(x - 1) (x^{2} - 6 x + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x^{2} - 6 x + 2 = 0

Solve

x - 1 = 0 : x = 1

Solve

x^{2} - 6 x + 2 = 0 : x = 3 + 7, x = 3 - 7

The solutions are

x = 1, x = 3 + 7, x = 3 - 7

0 = x^{3} - 2 x

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

x^{3} - 7 x^{2} + 9 x + 5 = 0

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

y^{4} - 36 y^{2} + 35 = 0

What are the solutions to the equation x^3-7x^2+8x-2=0 ?
The solutions to the equation x^3-7x^2+8x-2=0 are x=1,x=3+sqrt(7),x=3-sqrt(7)
Find the zeros of x^3-7x^2+8x-2=0
The zeros of x^3-7x^2+8x-2=0 are x=1,x=3+sqrt(7),x=3-sqrt(7)