What are the solutions to the equation -x^3+12x^2-21x+10=0 ?

The solutions to the equation -x^3+12x^2-21x+10=0 are x=1,x=10

Find the zeros of -x^3+12x^2-21x+10=0

The zeros of -x^3+12x^2-21x+10=0 are x=1,x=10

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- x^{3} + 12 x^{2} - 21 x + 10 = 0

x = 1, x = 10

Solution steps

- x^{3} + 12 x^{2} - 21 x + 10 = 0

Factor

- x^{3} + 12 x^{2} - 21 x + 10 : - (x - 1)^{2} (x - 10)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x - 10 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 10 = 0 : x = 10

The solutions are

x = 1, x = 10

27 x^{3} - 512 = 0

y^{3} + y^{2} = 81 y + 81

18 q - 21 q^{2} + 6 q^{3} = 0

1 + x^{4} = 0

3 (x + 9) (x^{2} - 81) = 0

What are the solutions to the equation -x^3+12x^2-21x+10=0 ?
The solutions to the equation -x^3+12x^2-21x+10=0 are x=1,x=10
Find the zeros of -x^3+12x^2-21x+10=0
The zeros of -x^3+12x^2-21x+10=0 are x=1,x=10