What are the solutions to the equation x^3+3x^2-45x+81=0 ?

The solutions to the equation x^3+3x^2-45x+81=0 are x=3,x=-9

Find the zeros of x^3+3x^2-45x+81=0

The zeros of x^3+3x^2-45x+81=0 are x=3,x=-9

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x^{3} + 3 x^{2} - 45 x + 81 = 0

x = 3, x = - 9

Solution steps

x^{3} + 3 x^{2} - 45 x + 81 = 0

Factor

x^{3} + 3 x^{2} - 45 x + 81 : (x - 3)^{2} (x + 9)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 3 = 0 or x + 9 = 0

Solve

x - 3 = 0 : x = 3

Solve

x + 9 = 0 : x = - 9

The solutions are

x = 3, x = - 9

x^{4} - 6 x^{3} + 7 x^{2} + 6 x - 8 = 0

(2 x - 1)^{6} = 64

\frac{15 ( 15 + 1 )}{2} = a^{3}

x^{4} + 2 x^{2} - 24 = 0

16 = x^{4}

What are the solutions to the equation x^3+3x^2-45x+81=0 ?
The solutions to the equation x^3+3x^2-45x+81=0 are x=3,x=-9
Find the zeros of x^3+3x^2-45x+81=0
The zeros of x^3+3x^2-45x+81=0 are x=3,x=-9