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

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

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

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

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

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

Decimal Notation

x = - 1, x = - 1.41421 \dots, x = 1.41421 \dots

Solution steps

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

Expand

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

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

The solutions are

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

x^{3} - 31 x - 30 = 0

12000 x^{3} - 85800 x^{2} - 300000

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

- 0.024 = x^{4} - 2 \cdot x^{5} - x^{6}

z^{4} - 2 z^{3} + 5 z^{2} - 6 z + 6 = 0

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