What are the solutions to the equation -66+6x^2+x^3-11x=0 ?

The solutions to the equation -66+6x^2+x^3-11x=0 are x=-6,x=-sqrt(11),x=sqrt(11)

Find the zeros of -66+6x^2+x^3-11x=0

The zeros of -66+6x^2+x^3-11x=0 are x=-6,x=-sqrt(11),x=sqrt(11)

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- 66 + 6 x^{2} + x^{3} - 11 x = 0

x = - 6, x = - 11, x = 11

Decimal Notation

x = - 6, x = - 3.31662 \dots, x = 3.31662 \dots

Solution steps

- 66 + 6 x^{2} + x^{3} - 11 x = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

x^{3} + 6 x^{2} - 11 x - 66 = 0

Factor

x^{3} + 6 x^{2} - 11 x - 66 : (x + 6) (x + 11) (x - 11)

(x + 6) (x + 11) (x - 11) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 6 = 0 or x + 11 = 0 or x - 11 = 0

Solve

x + 6 = 0 : x = - 6

Solve

x + 11 = 0 : x = - 11

Solve

x - 11 = 0 : x = 11

The solutions are

x = - 6, x = - 11, x = 11

z^{3} = 3 + i

x^{4} + 12 x^{3} + 10 x^{2} - 9 x + 22 = 0

- \frac{1}{8} x^{4} + \frac{5}{2} x^{2} - 8 = 0

2 (q + 1)^{3} = 128

x^{5} - 8 x^{3} - 9 x = 0

What are the solutions to the equation -66+6x^2+x^3-11x=0 ?
The solutions to the equation -66+6x^2+x^3-11x=0 are x=-6,x=-sqrt(11),x=sqrt(11)
Find the zeros of -66+6x^2+x^3-11x=0
The zeros of -66+6x^2+x^3-11x=0 are x=-6,x=-sqrt(11),x=sqrt(11)