What are the solutions to the equation -x^4+x^3+45x^2-25x-500=0 ?

The solutions to the equation -x^4+x^3+45x^2-25x-500=0 are x=-4,x=5,x=-5

Find the zeros of -x^4+x^3+45x^2-25x-500=0

The zeros of -x^4+x^3+45x^2-25x-500=0 are x=-4,x=5,x=-5

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- x^{4} + x^{3} + 45 x^{2} - 25 x - 500 = 0

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

Solution steps

- x^{4} + x^{3} + 45 x^{2} - 25 x - 500 = 0

Factor

- x^{4} + x^{3} + 45 x^{2} - 25 x - 500 : - (x + 4) (x - 5)^{2} (x + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 4 = 0 or x - 5 = 0 or x + 5 = 0

Solve

x + 4 = 0 : x = - 4

Solve

x - 5 = 0 : x = 5

Solve

x + 5 = 0 : x = - 5

The solutions are

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

x = \frac{2}{3} π r^{3}, r

49 y^{3} - 16 y = 0

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

(x^{3} - 9) = 0

20 x^{3} - 60 x^{2} = 0

What are the solutions to the equation -x^4+x^3+45x^2-25x-500=0 ?
The solutions to the equation -x^4+x^3+45x^2-25x-500=0 are x=-4,x=5,x=-5
Find the zeros of -x^4+x^3+45x^2-25x-500=0
The zeros of -x^4+x^3+45x^2-25x-500=0 are x=-4,x=5,x=-5