What are the solutions to the equation -x^3+12x^2-45x+54=0 ?

The solutions to the equation -x^3+12x^2-45x+54=0 are x=3,x=6

Find the zeros of -x^3+12x^2-45x+54=0

The zeros of -x^3+12x^2-45x+54=0 are x=3,x=6

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- x^{3} + 12 x^{2} - 45 x + 54 = 0

x = 3, x = 6

Solution steps

- x^{3} + 12 x^{2} - 45 x + 54 = 0

Factor

- x^{3} + 12 x^{2} - 45 x + 54 : - (x - 3)^{2} (x - 6)

- (x - 3)^{2} (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 3 = 0 or x - 6 = 0

Solve

x - 3 = 0 : x = 3

Solve

x - 6 = 0 : x = 6

The solutions are

x = 3, x = 6

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

2 x^{4} - 32 x^{2} + 128 = 0

2 x^{3} - 5 x^{2} - 11 x - 4 = 4

7 \frac{x ^{3}}{4} = 23

5 x^{3} - 7 x^{2} + 12 x + 8 = 0

What are the solutions to the equation -x^3+12x^2-45x+54=0 ?
The solutions to the equation -x^3+12x^2-45x+54=0 are x=3,x=6
Find the zeros of -x^3+12x^2-45x+54=0
The zeros of -x^3+12x^2-45x+54=0 are x=3,x=6