What are the solutions to the equation x^3-9x^2+33x-65=0 ?

The solutions to the equation x^3-9x^2+33x-65=0 are x=5,x=2+3i,x=2-3i

Find the zeros of x^3-9x^2+33x-65=0

The zeros of x^3-9x^2+33x-65=0 are x=5,x=2+3i,x=2-3i

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x^{3} - 9 x^{2} + 33 x - 65 = 0

x = 5, x = 2 + 3 i, x = 2 - 3 i

Solution steps

x^{3} - 9 x^{2} + 33 x - 65 = 0

Factor

x^{3} - 9 x^{2} + 33 x - 65 : (x - 5) (x^{2} - 4 x + 13)

(x - 5) (x^{2} - 4 x + 13) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 5 = 0 or x^{2} - 4 x + 13 = 0

Solve

x - 5 = 0 : x = 5

Solve

x^{2} - 4 x + 13 = 0 : x = 2 + 3 i, x = 2 - 3 i

The solutions are

x = 5, x = 2 + 3 i, x = 2 - 3 i

30 x^{3} - 113 x^{2} + 108 x - 30 = 0

y^{4} - 12 y^{2} - 64 = 0

2 x^{3} - 3 x^{2} + 4 x - 6 = 0

x^{6} + x^{3} + 1

32 xxx - 234 xx + 410 x - 39 = 0

What are the solutions to the equation x^3-9x^2+33x-65=0 ?
The solutions to the equation x^3-9x^2+33x-65=0 are x=5,x=2+3i,x=2-3i
Find the zeros of x^3-9x^2+33x-65=0
The zeros of x^3-9x^2+33x-65=0 are x=5,x=2+3i,x=2-3i