What are the solutions to the equation x^3-x^2=100 ?

The solutions to the equation x^3-x^2=100 are x=5,x=-2+4i,x=-2-4i

Find the zeros of x^3-x^2=100

The zeros of x^3-x^2=100 are x=5,x=-2+4i,x=-2-4i

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x^{3} - x^{2} = 100

x = 5, x = - 2 + 4 i, x = - 2 - 4 i

Solution steps

x^{3} - x^{2} = 100

Move

100

to the left side

x^{3} - x^{2} - 100 = 0

Factor

x^{3} - x^{2} - 100 : (x - 5) (x^{2} + 4 x + 20)

(x - 5) (x^{2} + 4 x + 20) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 5 = 0 or x^{2} + 4 x + 20 = 0

Solve

x - 5 = 0 : x = 5

Solve

x^{2} + 4 x + 20 = 0 : x = - 2 + 4 i, x = - 2 - 4 i

The solutions are

x = 5, x = - 2 + 4 i, x = - 2 - 4 i

x^{4} + 14 x^{3} + 14 x^{2} + 14 x + 13 = 0

x^{3} = x + 3

x^{3} - 3 x^{2} - 8 x - 10 = 0

x^{4} + 19 x^{2} - 20 = 0

x, x^{3} - y^{2} = cy

What are the solutions to the equation x^3-x^2=100 ?
The solutions to the equation x^3-x^2=100 are x=5,x=-2+4i,x=-2-4i
Find the zeros of x^3-x^2=100
The zeros of x^3-x^2=100 are x=5,x=-2+4i,x=-2-4i