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

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

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

The zeros of 0=x^3-3x+2 are x=1,x=-2

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

x = 1, x = - 2

Solution steps

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

Switch sides

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x + 2 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 2 = 0 : x = - 2

The solutions are

x = 1, x = - 2

4 c^{3} + 4 c^{2} - 48 c = 0

x^{4} - 8 x^{2} = 8 x^{2}

7 x^{3} + 48 x^{2} = 7 x

x^{4} + x^{3} - 11 x^{2} - 9 x + 18 = 0

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

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