What are the solutions to the equation x^3-34x-12=0 ?

The solutions to the equation x^3-34x-12=0 are x=6,x=-3+sqrt(7),x=-3-sqrt(7)

Find the zeros of x^3-34x-12=0

The zeros of x^3-34x-12=0 are x=6,x=-3+sqrt(7),x=-3-sqrt(7)

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x^{3} - 34 x - 12 = 0

x = 6, x = - 3 + 7, x = - 3 - 7

Decimal Notation

x = 6, x = - 0.35424 \dots, x = - 5.64575 \dots

Solution steps

x^{3} - 34 x - 12 = 0

Factor

x^{3} - 34 x - 12 : (x - 6) (x^{2} + 6 x + 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 6 = 0 : x = 6

Solve

x^{2} + 6 x + 2 = 0 : x = - 3 + 7, x = - 3 - 7

The solutions are

x = 6, x = - 3 + 7, x = - 3 - 7

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

x^{5} - 3 x^{4} + 3 x^{3} - 3 x^{2} + 2 x = 0

x^{3} + 6 x^{2} - 32 = 0

10 + 8 y^{3} = 82

243 x^{5} + 32 = 100000

What are the solutions to the equation x^3-34x-12=0 ?
The solutions to the equation x^3-34x-12=0 are x=6,x=-3+sqrt(7),x=-3-sqrt(7)
Find the zeros of x^3-34x-12=0
The zeros of x^3-34x-12=0 are x=6,x=-3+sqrt(7),x=-3-sqrt(7)