What are the solutions to the equation x^3+5x^2+10x+50=0 ?

The solutions to the equation x^3+5x^2+10x+50=0 are x=-5,x=sqrt(10)i,x=-sqrt(10)i

Find the zeros of x^3+5x^2+10x+50=0

The zeros of x^3+5x^2+10x+50=0 are x=-5,x=sqrt(10)i,x=-sqrt(10)i

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x^{3} + 5 x^{2} + 10 x + 50 = 0

x = - 5, x = 10 i, x = - 10 i

Solution steps

x^{3} + 5 x^{2} + 10 x + 50 = 0

Factor

x^{3} + 5 x^{2} + 10 x + 50 : (x + 5) (x^{2} + 10)

(x + 5) (x^{2} + 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 5 = 0 or x^{2} + 10 = 0

Solve

x + 5 = 0 : x = - 5

Solve

x^{2} + 10 = 0 : x = 10 i, x = - 10 i

The solutions are

x = - 5, x = 10 i, x = - 10 i

30 x - 60 x^{3} = 0

x^{4} + 2 x^{2} + 2 = 0

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

x^{4} + 17 x^{3} + 60 x^{2} - 59 x + 77 = 0

y, x^{4} + y^{4} = 82

What are the solutions to the equation x^3+5x^2+10x+50=0 ?
The solutions to the equation x^3+5x^2+10x+50=0 are x=-5,x=sqrt(10)i,x=-sqrt(10)i
Find the zeros of x^3+5x^2+10x+50=0
The zeros of x^3+5x^2+10x+50=0 are x=-5,x=sqrt(10)i,x=-sqrt(10)i