What are the solutions to the equation x^3-2x^2+25x-50=0 ?

The solutions to the equation x^3-2x^2+25x-50=0 are x=2,x=5i,x=-5i

Find the zeros of x^3-2x^2+25x-50=0

The zeros of x^3-2x^2+25x-50=0 are x=2,x=5i,x=-5i

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x^{3} - 2 x^{2} + 25 x - 50 = 0

x = 2, x = 5 i, x = - 5 i

Solution steps

x^{3} - 2 x^{2} + 25 x - 50 = 0

Factor

x^{3} - 2 x^{2} + 25 x - 50 : (x - 2) (x^{2} + 25)

(x - 2) (x^{2} + 25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or x^{2} + 25 = 0

Solve

x - 2 = 0 : x = 2

Solve

x^{2} + 25 = 0 : x = 5 i, x = - 5 i

The solutions are

x = 2, x = 5 i, x = - 5 i

x^{3} + x^{2} = 9 x + 9

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

x^{4} - 4 x^{3} + 8 x^{2} - 16 x + 16 = 0

w^{3} = 512

3 x^{4} - 2 x^{3} + 2 x^{2} - 8 x - 40 = 0

What are the solutions to the equation x^3-2x^2+25x-50=0 ?
The solutions to the equation x^3-2x^2+25x-50=0 are x=2,x=5i,x=-5i
Find the zeros of x^3-2x^2+25x-50=0
The zeros of x^3-2x^2+25x-50=0 are x=2,x=5i,x=-5i