What are the solutions to the equation x^3-15x-126=0 ?

The solutions to the equation x^3-15x-126=0 are x=6,x=-3+2sqrt(3)i,x=-3-2sqrt(3)i

Find the zeros of x^3-15x-126=0

The zeros of x^3-15x-126=0 are x=6,x=-3+2sqrt(3)i,x=-3-2sqrt(3)i

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x^{3} - 15 x - 126 = 0

x = 6, x = - 3 + 23 i, x = - 3 - 23 i

Solution steps

x^{3} - 15 x - 126 = 0

Factor

x^{3} - 15 x - 126 : (x - 6) (x^{2} + 6 x + 21)

(x - 6) (x^{2} + 6 x + 21) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 6 = 0 or x^{2} + 6 x + 21 = 0

Solve

x - 6 = 0 : x = 6

Solve

x^{2} + 6 x + 21 = 0 : x = - 3 + 23 i, x = - 3 - 23 i

The solutions are

x = 6, x = - 3 + 23 i, x = - 3 - 23 i

- x^{3} + x^{2} - x - 1 = 0

9 x^{3} = 4 x^{2}

15651.63 = 3000 (1 + x)^{3}

9 w^{2} + 17 w + 12 = 3 w^{2} 3 w^{2}

x + x^{2} - x^{4} + x^{8} = 125

What are the solutions to the equation x^3-15x-126=0 ?
The solutions to the equation x^3-15x-126=0 are x=6,x=-3+2sqrt(3)i,x=-3-2sqrt(3)i
Find the zeros of x^3-15x-126=0
The zeros of x^3-15x-126=0 are x=6,x=-3+2sqrt(3)i,x=-3-2sqrt(3)i