What are the solutions to the equation x^3-6x^2-36x-40=0 ?

The solutions to the equation x^3-6x^2-36x-40=0 are x=-2,x=10

Find the zeros of x^3-6x^2-36x-40=0

The zeros of x^3-6x^2-36x-40=0 are x=-2,x=10

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x^{3} - 6 x^{2} - 36 x - 40 = 0

x = - 2, x = 10

Solution steps

x^{3} - 6 x^{2} - 36 x - 40 = 0

Factor

x^{3} - 6 x^{2} - 36 x - 40 : (x + 2)^{2} (x - 10)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0 or x - 10 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 10 = 0 : x = 10

The solutions are

x = - 2, x = 10

w (w - 6)^{2} = 0

x^{3} - 6 x^{2} + 9 x - 4 = 0

a^{6} - 5 = 9

- x^{3} + 5 x^{2} - 3 x - 9 = 0

x^{4} - 27 x^{2} + 50 = 0

What are the solutions to the equation x^3-6x^2-36x-40=0 ?
The solutions to the equation x^3-6x^2-36x-40=0 are x=-2,x=10
Find the zeros of x^3-6x^2-36x-40=0
The zeros of x^3-6x^2-36x-40=0 are x=-2,x=10