What are the solutions to the equation 9x= 1/4 x^3 ?

The solutions to the equation 9x= 1/4 x^3 are x=0,x=-6,x=6

Find the zeros of 9x= 1/4 x^3

The zeros of 9x= 1/4 x^3 are x=0,x=-6,x=6

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9 x = \frac{1}{4} x^{3}

x = 0, x = - 6, x = 6

Solution steps

9 x = \frac{1}{4} x^{3}

Switch sides

\frac{1}{4} x^{3} = 9 x

Move

9 x

to the left side

\frac{1}{4} x^{3} - 9 x = 0

Factor

\frac{1}{4} x^{3} - 9 x : x (\frac{x}{2} + 3) (\frac{x}{2} - 3)

x (\frac{x}{2} + 3) (\frac{x}{2} - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or \frac{x}{2} + 3 = 0 or \frac{x}{2} - 3 = 0

Solve

\frac{x}{2} + 3 = 0 : x = - 6

Solve

\frac{x}{2} - 3 = 0 : x = 6

The solutions are

x = 0, x = - 6, x = 6

- \frac{x ^{3}}{3} - x^{2} + 3 x + 10 = 0

(s^{2} + 17800 s + 39500000)^{2} = 0

t, (1 + t)^{5} = 1.2784

4 x^{4} + 65 x^{2} + 16 = 0

- 2 x^{2} - 3 x^{3} = 0

What are the solutions to the equation 9x= 1/4 x^3 ?
The solutions to the equation 9x= 1/4 x^3 are x=0,x=-6,x=6
Find the zeros of 9x= 1/4 x^3
The zeros of 9x= 1/4 x^3 are x=0,x=-6,x=6