What are the solutions to the equation x^3-12x^2-56x+552=0 ?

The solutions to the equation x^3-12x^2-56x+552=0 are x=6,x=3+sqrt(101),x=3-sqrt(101)

Find the zeros of x^3-12x^2-56x+552=0

The zeros of x^3-12x^2-56x+552=0 are x=6,x=3+sqrt(101),x=3-sqrt(101)

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x^{3} - 12 x^{2} - 56 x + 552 = 0

x = 6, x = 3 + 101, x = 3 - 101

Decimal Notation

x = 6, x = 13.04987 \dots, x = - 7.04987 \dots

Solution steps

x^{3} - 12 x^{2} - 56 x + 552 = 0

Factor

x^{3} - 12 x^{2} - 56 x + 552 : (x - 6) (x^{2} - 6 x - 92)

(x - 6) (x^{2} - 6 x - 92) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 6 = 0 or x^{2} - 6 x - 92 = 0

Solve

x - 6 = 0 : x = 6

Solve

x^{2} - 6 x - 92 = 0 : x = 3 + 101, x = 3 - 101

The solutions are

x = 6, x = 3 + 101, x = 3 - 101

11 x^{10} = 15 x - 9

x^{6} - 8 x^{3} + 1 = 0

x^{3} - x^{2} - 54 x + 123 = 0

x^{3} - x^{2} - x + 10 = 0

x^{3} - 2 x^{2} - 4 x - 7 = 0

What are the solutions to the equation x^3-12x^2-56x+552=0 ?
The solutions to the equation x^3-12x^2-56x+552=0 are x=6,x=3+sqrt(101),x=3-sqrt(101)
Find the zeros of x^3-12x^2-56x+552=0
The zeros of x^3-12x^2-56x+552=0 are x=6,x=3+sqrt(101),x=3-sqrt(101)