What are the solutions to the equation x^3-4x^2+25x-100=0 ?

The solutions to the equation x^3-4x^2+25x-100=0 are x=4,x=5i,x=-5i

Find the zeros of x^3-4x^2+25x-100=0

The zeros of x^3-4x^2+25x-100=0 are x=4,x=5i,x=-5i

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x^{3} - 4 x^{2} + 25 x - 100 = 0

x = 4, x = 5 i, x = - 5 i

Solution steps

x^{3} - 4 x^{2} + 25 x - 100 = 0

Factor

x^{3} - 4 x^{2} + 25 x - 100 : (x - 4) (x^{2} + 25)

(x - 4) (x^{2} + 25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 4 = 0 or x^{2} + 25 = 0

Solve

x - 4 = 0 : x = 4

Solve

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

The solutions are

x = 4, x = 5 i, x = - 5 i

(x + 1)^{2} (x - 5) = 0

- 4 x^{3} = 32

r^{5} - r^{4} - 4 r^{3} - 4 r^{2} - 5 r - 3 = 0

x^{4} - 12 x^{3} - 14 x^{2} + 292 x + 577 = 0

2 x^{4} + 3 = 0

What are the solutions to the equation x^3-4x^2+25x-100=0 ?
The solutions to the equation x^3-4x^2+25x-100=0 are x=4,x=5i,x=-5i
Find the zeros of x^3-4x^2+25x-100=0
The zeros of x^3-4x^2+25x-100=0 are x=4,x=5i,x=-5i