What are the solutions to the equation x^4-6x^3+7x^2+6x-8=0 ?

The solutions to the equation x^4-6x^3+7x^2+6x-8=0 are x=-1,x=1,x=2,x=4

Find the zeros of x^4-6x^3+7x^2+6x-8=0

The zeros of x^4-6x^3+7x^2+6x-8=0 are x=-1,x=1,x=2,x=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{4} - 6 x^{3} + 7 x^{2} + 6 x - 8 = 0

x = - 1, x = 1, x = 2, x = 4

Solution steps

x^{4} - 6 x^{3} + 7 x^{2} + 6 x - 8 = 0

Factor

x^{4} - 6 x^{3} + 7 x^{2} + 6 x - 8 : (x + 1) (x - 1) (x - 2) (x - 4)

(x + 1) (x - 1) (x - 2) (x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 1 = 0 or x - 2 = 0 or x - 4 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

Solve

x - 2 = 0 : x = 2

Solve

x - 4 = 0 : x = 4

The solutions are

x = - 1, x = 1, x = 2, x = 4

(2 x - 1)^{6} = 64

\frac{15 ( 15 + 1 )}{2} = a^{3}

x^{4} + 2 x^{2} - 24 = 0

16 = x^{4}

8 x^{3} + 4 x^{2} - 50 x - 25 = 0

What are the solutions to the equation x^4-6x^3+7x^2+6x-8=0 ?
The solutions to the equation x^4-6x^3+7x^2+6x-8=0 are x=-1,x=1,x=2,x=4
Find the zeros of x^4-6x^3+7x^2+6x-8=0
The zeros of x^4-6x^3+7x^2+6x-8=0 are x=-1,x=1,x=2,x=4