What are the solutions to the equation (x^2-6)(x^2-1)=0 ?

The solutions to the equation (x^2-6)(x^2-1)=0 are x=-1,x=1,x=-sqrt(6),x=sqrt(6)

Find the zeros of (x^2-6)(x^2-1)=0

The zeros of (x^2-6)(x^2-1)=0 are x=-1,x=1,x=-sqrt(6),x=sqrt(6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = - 1, x = 1, x = - 6, x = 6

Decimal Notation

x = - 1, x = 1, x = - 2.44948 \dots, x = 2.44948 \dots

Solution steps

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

Factor

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

(x + 1) (x - 1) (x + 6) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 1 = 0 or x + 6 = 0 or x - 6 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

Solve

x + 6 = 0 : x = - 6

Solve

x - 6 = 0 : x = 6

The solutions are

x = - 1, x = 1, x = - 6, x = 6

2 x^{4} - 81 = 0

(x^{2} - 2)^{2} - 10 (x^{2} - 2) + 21 = 0

9 x^{2} - 24 x^{16} = 0

x^{3} - 5 x^{2} = 0

x^{100} = 0.31

What are the solutions to the equation (x^2-6)(x^2-1)=0 ?
The solutions to the equation (x^2-6)(x^2-1)=0 are x=-1,x=1,x=-sqrt(6),x=sqrt(6)
Find the zeros of (x^2-6)(x^2-1)=0
The zeros of (x^2-6)(x^2-1)=0 are x=-1,x=1,x=-sqrt(6),x=sqrt(6)