What are the solutions to the equation -x^3-12x^2-43x-44=0 ?

The solutions to the equation -x^3-12x^2-43x-44=0 are x=-4,x=-4+sqrt(5),x=-4-sqrt(5)

Find the zeros of -x^3-12x^2-43x-44=0

The zeros of -x^3-12x^2-43x-44=0 are x=-4,x=-4+sqrt(5),x=-4-sqrt(5)

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- x^{3} - 12 x^{2} - 43 x - 44 = 0

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

Decimal Notation

x = - 4, x = - 1.76393 \dots, x = - 6.23606 \dots

Solution steps

- x^{3} - 12 x^{2} - 43 x - 44 = 0

Factor

- x^{3} - 12 x^{2} - 43 x - 44 : - (x + 4) (x^{2} + 8 x + 11)

- (x + 4) (x^{2} + 8 x + 11) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 4 = 0 or x^{2} + 8 x + 11 = 0

Solve

x + 4 = 0 : x = - 4

Solve

x^{2} + 8 x + 11 = 0 : x = - 4 + 5, x = - 4 - 5

The solutions are

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

x^{3} + 6 x^{2} - 12 x + 8 = 0

x, 125 x = 5 x^{3}

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

x^{4} - 2 x^{3} - 8 x - 16 = 0

0.12 = x^{4} - 1

What are the solutions to the equation -x^3-12x^2-43x-44=0 ?
The solutions to the equation -x^3-12x^2-43x-44=0 are x=-4,x=-4+sqrt(5),x=-4-sqrt(5)
Find the zeros of -x^3-12x^2-43x-44=0
The zeros of -x^3-12x^2-43x-44=0 are x=-4,x=-4+sqrt(5),x=-4-sqrt(5)