What are the solutions to the equation x^3+x^2=150 ?

The solutions to the equation x^3+x^2=150 are x=5,x=-3+sqrt(21)i,x=-3-sqrt(21)i

Find the zeros of x^3+x^2=150

The zeros of x^3+x^2=150 are x=5,x=-3+sqrt(21)i,x=-3-sqrt(21)i

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x^{3} + x^{2} = 150

x = 5, x = - 3 + 21 i, x = - 3 - 21 i

Solution steps

x^{3} + x^{2} = 150

Move

150

to the left side

x^{3} + x^{2} - 150 = 0

Factor

x^{3} + x^{2} - 150 : (x - 5) (x^{2} + 6 x + 30)

(x - 5) (x^{2} + 6 x + 30) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 5 = 0 or x^{2} + 6 x + 30 = 0

Solve

x - 5 = 0 : x = 5

Solve

x^{2} + 6 x + 30 = 0 : x = - 3 + 21 i, x = - 3 - 21 i

The solutions are

x = 5, x = - 3 + 21 i, x = - 3 - 21 i

2 x^{3} - x - 4 = 0

x^{3} + 7 x^{2} - 2 x - 40 = 0

m^{9} - 1 = - 2

y^{4} - 6 y^{2} = - 8

(x^{2} - 3 x)^{2} - 2 (x^{2} - 3 x) - 8 = 0

What are the solutions to the equation x^3+x^2=150 ?
The solutions to the equation x^3+x^2=150 are x=5,x=-3+sqrt(21)i,x=-3-sqrt(21)i
Find the zeros of x^3+x^2=150
The zeros of x^3+x^2=150 are x=5,x=-3+sqrt(21)i,x=-3-sqrt(21)i