What are the solutions to the equation x^4+8x^3+30x^2+56x-95=0 ?

The solutions to the equation x^4+8x^3+30x^2+56x-95=0 are x=1,x=-5,x=-2+sqrt(15)i,x=-2-sqrt(15)i

Find the zeros of x^4+8x^3+30x^2+56x-95=0

The zeros of x^4+8x^3+30x^2+56x-95=0 are x=1,x=-5,x=-2+sqrt(15)i,x=-2-sqrt(15)i

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x^{4} + 8 x^{3} + 30 x^{2} + 56 x - 95 = 0

x = 1, x = - 5, x = - 2 + 15 i, x = - 2 - 15 i

Solution steps

x^{4} + 8 x^{3} + 30 x^{2} + 56 x - 95 = 0

Factor

x^{4} + 8 x^{3} + 30 x^{2} + 56 x - 95 : (x - 1) (x + 5) (x^{2} + 4 x + 19)

(x - 1) (x + 5) (x^{2} + 4 x + 19) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x + 5 = 0 or x^{2} + 4 x + 19 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 5 = 0 : x = - 5

Solve

x^{2} + 4 x + 19 = 0 : x = - 2 + 15 i, x = - 2 - 15 i

The solutions are

x = 1, x = - 5, x = - 2 + 15 i, x = - 2 - 15 i

14.93 (x + 1)^{3} = 20

x^{4} = 4

x^{4} = 9

4 (x)^{3} + x - 1 = 0

x^{4} + 2 x^{3} - 7 x^{2} - 8 x + 12 = 0

What are the solutions to the equation x^4+8x^3+30x^2+56x-95=0 ?
The solutions to the equation x^4+8x^3+30x^2+56x-95=0 are x=1,x=-5,x=-2+sqrt(15)i,x=-2-sqrt(15)i
Find the zeros of x^4+8x^3+30x^2+56x-95=0
The zeros of x^4+8x^3+30x^2+56x-95=0 are x=1,x=-5,x=-2+sqrt(15)i,x=-2-sqrt(15)i