What are the solutions to the equation 9a^3-81a=-2a^2+18 ?

The solutions to the equation 9a^3-81a=-2a^2+18 are a=-2/9 ,a=-3,a=3

Find the zeros of 9a^3-81a=-2a^2+18

The zeros of 9a^3-81a=-2a^2+18 are a=-2/9 ,a=-3,a=3

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9 a^{3} - 81 a = - 2 a^{2} + 18

a = - \frac{2}{9}, a = - 3, a = 3

Decimal Notation

a = - 0.22222 \dots, a = - 3, a = 3

Solution steps

9 a^{3} - 81 a = - 2 a^{2} + 18

Move

18

to the left side

9 a^{3} - 81 a - 18 = - 2 a^{2}

Move

2 a^{2}

to the left side

9 a^{3} - 81 a - 18 + 2 a^{2} = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

9 a^{3} + 2 a^{2} - 81 a - 18 = 0

Factor

9 a^{3} + 2 a^{2} - 81 a - 18 : (9 a + 2) (a + 3) (a - 3)

(9 a + 2) (a + 3) (a - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

9 a + 2 = 0 or a + 3 = 0 or a - 3 = 0

Solve

9 a + 2 = 0 : a = - \frac{2}{9}

Solve

a + 3 = 0 : a = - 3

Solve

a - 3 = 0 : a = 3

The solutions are

a = - \frac{2}{9}, a = - 3, a = 3

x, 175 = 5 x^{3}

3 + 9 x^{8} - 6^{2} = A

m^{3} - 4 m^{2} + 4 m = 0

0.024 = (1 + \frac{x}{12})^{12} - 1

x^{6} - 11 x^{3} + 30 = 0

What are the solutions to the equation 9a^3-81a=-2a^2+18 ?
The solutions to the equation 9a^3-81a=-2a^2+18 are a=-2/9 ,a=-3,a=3
Find the zeros of 9a^3-81a=-2a^2+18
The zeros of 9a^3-81a=-2a^2+18 are a=-2/9 ,a=-3,a=3