What are the solutions to the equation x^3-30x^2+297x-972=0 ?

The solutions to the equation x^3-30x^2+297x-972=0 are x=9,x=12

Find the zeros of x^3-30x^2+297x-972=0

The zeros of x^3-30x^2+297x-972=0 are x=9,x=12

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x^{3} - 30 x^{2} + 297 x - 972 = 0

x = 9, x = 12

Solution steps

x^{3} - 30 x^{2} + 297 x - 972 = 0

Factor

x^{3} - 30 x^{2} + 297 x - 972 : (x - 9)^{2} (x - 12)

(x - 9)^{2} (x - 12) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 9 = 0 or x - 12 = 0

Solve

x - 9 = 0 : x = 9

Solve

x - 12 = 0 : x = 12

The solutions are

x = 9, x = 12

x^{2} (x + 2) = 0

x^{3} = 1 + 14 x

x^{4} + 9 x^{2} + 14 = 0

(x^{3} + 8) = 0

2 x^{4} - 7 x^{2} + 5 = 0

What are the solutions to the equation x^3-30x^2+297x-972=0 ?
The solutions to the equation x^3-30x^2+297x-972=0 are x=9,x=12
Find the zeros of x^3-30x^2+297x-972=0
The zeros of x^3-30x^2+297x-972=0 are x=9,x=12