What are the solutions to the equation x^4+x^3+23x^2+25x-50=0 ?

The solutions to the equation x^4+x^3+23x^2+25x-50=0 are x=1,x=-2,x=5i,x=-5i

Find the zeros of x^4+x^3+23x^2+25x-50=0

The zeros of x^4+x^3+23x^2+25x-50=0 are x=1,x=-2,x=5i,x=-5i

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x^{4} + x^{3} + 23 x^{2} + 25 x - 50 = 0

x = 1, x = - 2, x = 5 i, x = - 5 i

Solution steps

x^{4} + x^{3} + 23 x^{2} + 25 x - 50 = 0

Factor

x^{4} + x^{3} + 23 x^{2} + 25 x - 50 : (x - 1) (x + 2) (x^{2} + 25)

(x - 1) (x + 2) (x^{2} + 25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x + 2 = 0 or x^{2} + 25 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 2 = 0 : x = - 2

Solve

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

The solutions are

x = 1, x = - 2, x = 5 i, x = - 5 i

(p) = p^{3} + 1

t^{4} - t^{2} - 2 = 0

x, 171 y = 3 x^{5}

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

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

What are the solutions to the equation x^4+x^3+23x^2+25x-50=0 ?
The solutions to the equation x^4+x^3+23x^2+25x-50=0 are x=1,x=-2,x=5i,x=-5i
Find the zeros of x^4+x^3+23x^2+25x-50=0
The zeros of x^4+x^3+23x^2+25x-50=0 are x=1,x=-2,x=5i,x=-5i