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

The solutions to the equation x^3+2x^2-10x=0 are x=0,x=-1+sqrt(11),x=-1-sqrt(11)

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

The zeros of x^3+2x^2-10x=0 are x=0,x=-1+sqrt(11),x=-1-sqrt(11)

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

x = 0, x = - 1 + 11, x = - 1 - 11

Decimal Notation

x = 0, x = 2.31662 \dots, x = - 4.31662 \dots

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 2 x - 10 = 0

Solve

x^{2} + 2 x - 10 = 0 : x = - 1 + 11, x = - 1 - 11

The solutions are

x = 0, x = - 1 + 11, x = - 1 - 11

r^{3} + 2 r^{2} + r = 0

x^{3} - 45 x = 4 x^{2}

- x^{4} + x^{2} - 4 x - 8 = 0

(3 - x) x^{2} = 0

0 = 3 x^{3} + 8 x^{2} - 15 x + 4

What are the solutions to the equation x^3+2x^2-10x=0 ?
The solutions to the equation x^3+2x^2-10x=0 are x=0,x=-1+sqrt(11),x=-1-sqrt(11)
Find the zeros of x^3+2x^2-10x=0
The zeros of x^3+2x^2-10x=0 are x=0,x=-1+sqrt(11),x=-1-sqrt(11)