What are the solutions to the equation x^3-9x^2+33x+45=2 ?

The solutions to the equation x^3-9x^2+33x+45=2 are x=-1,x=5+3sqrt(2)i,x=5-3sqrt(2)i

Find the zeros of x^3-9x^2+33x+45=2

The zeros of x^3-9x^2+33x+45=2 are x=-1,x=5+3sqrt(2)i,x=5-3sqrt(2)i

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x^{3} - 9 x^{2} + 33 x + 45 = 2

x = - 1, x = 5 + 32 i, x = 5 - 32 i

Solution steps

x^{3} - 9 x^{2} + 33 x + 45 = 2

Move

2

to the left side

x^{3} - 9 x^{2} + 33 x + 43 = 0

Factor

x^{3} - 9 x^{2} + 33 x + 43 : (x + 1) (x^{2} - 10 x + 43)

(x + 1) (x^{2} - 10 x + 43) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x^{2} - 10 x + 43 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x^{2} - 10 x + 43 = 0 : x = 5 + 32 i, x = 5 - 32 i

The solutions are

x = - 1, x = 5 + 32 i, x = 5 - 32 i

x, x^{3} = 729

(y^{2} - y + 1)^{2} = 0

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

9 x^{4} + 82 x^{2} + 9 = 0

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

What are the solutions to the equation x^3-9x^2+33x+45=2 ?
The solutions to the equation x^3-9x^2+33x+45=2 are x=-1,x=5+3sqrt(2)i,x=5-3sqrt(2)i
Find the zeros of x^3-9x^2+33x+45=2
The zeros of x^3-9x^2+33x+45=2 are x=-1,x=5+3sqrt(2)i,x=5-3sqrt(2)i