What are the solutions to the equation x^3+2x^2-13x+10=0 ?

The solutions to the equation x^3+2x^2-13x+10=0 are x=1,x=2,x=-5

Find the zeros of x^3+2x^2-13x+10=0

The zeros of x^3+2x^2-13x+10=0 are x=1,x=2,x=-5

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x^{3} + 2 x^{2} - 13 x + 10 = 0

x = 1, x = 2, x = - 5

Solution steps

x^{3} + 2 x^{2} - 13 x + 10 = 0

Factor

x^{3} + 2 x^{2} - 13 x + 10 : (x - 1) (x - 2) (x + 5)

(x - 1) (x - 2) (x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x - 2 = 0 or x + 5 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 2 = 0 : x = 2

Solve

x + 5 = 0 : x = - 5

The solutions are

x = 1, x = 2, x = - 5

4^{3} = (x + 2)^{3}

x^{3} = 81

b^{6} + 7 b^{3} - 8 = 0

x^{3} - x = 10

12 x^{3} - 4 x^{2} - 3 x + 1 = 0

What are the solutions to the equation x^3+2x^2-13x+10=0 ?
The solutions to the equation x^3+2x^2-13x+10=0 are x=1,x=2,x=-5
Find the zeros of x^3+2x^2-13x+10=0
The zeros of x^3+2x^2-13x+10=0 are x=1,x=2,x=-5