What are the solutions to the equation -x^3+10x^2-33x+36=0 ?

The solutions to the equation -x^3+10x^2-33x+36=0 are x=3,x=4

Find the zeros of -x^3+10x^2-33x+36=0

The zeros of -x^3+10x^2-33x+36=0 are x=3,x=4

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- x^{3} + 10 x^{2} - 33 x + 36 = 0

x = 3, x = 4

Solution steps

- x^{3} + 10 x^{2} - 33 x + 36 = 0

Factor

- x^{3} + 10 x^{2} - 33 x + 36 : - (x - 3)^{2} (x - 4)

- (x - 3)^{2} (x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 3 = 0 or x - 4 = 0

Solve

x - 3 = 0 : x = 3

Solve

x - 4 = 0 : x = 4

The solutions are

x = 3, x = 4

3 x^{3} - 24 x^{2} + 21 x = 0

x^{3} - 6 x = 3 x^{2} - 8

y^{4} - 4 y = 0

3 s^{3} - 5 s + 2 = 0

4 x^{4} + 5 x^{2} - 9 = 0

What are the solutions to the equation -x^3+10x^2-33x+36=0 ?
The solutions to the equation -x^3+10x^2-33x+36=0 are x=3,x=4
Find the zeros of -x^3+10x^2-33x+36=0
The zeros of -x^3+10x^2-33x+36=0 are x=3,x=4