What are the solutions to the equation (3^3x^2+100)/3 =0 ?

The solutions to the equation (3^3x^2+100)/3 =0 are x=(10)/(3sqrt(3))i,x=-(10)/(3sqrt(3))i

Find the zeros of (3^3x^2+100)/3 =0

The zeros of (3^3x^2+100)/3 =0 are x=(10)/(3sqrt(3))i,x=-(10)/(3sqrt(3))i

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\frac{3 ^{3} x ^{2} + 100}{3} = 0

x = \frac{10}{3 3} i, x = - \frac{10}{3 3} i

Solution steps

\frac{3 ^{3} x ^{2} + 100}{3} = 0

Multiply both sides by

3

3^{3} x^{2} + 100 = 0

Move

100

to the right side

3^{3} x^{2} = - 100

Divide both sides by

27

x^{2} = - \frac{100}{27}

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = - \frac{100}{27}, x = - - \frac{100}{27}

- \frac{100}{27} = \frac{10}{3 3} i

- - \frac{100}{27} = - \frac{10}{3 3} i

x = \frac{10}{3 3} i, x = - \frac{10}{3 3} i

2 x^{2} - 9 x - 16 = 0

x^{2} - 10 x + 9 = 0

2 (x + 5)^{2} - 6 = - 1

x - 2 = x^{2} - x - 6

x, (x - y)^{2} = x + y - 1

What are the solutions to the equation (3^3x^2+100)/3 =0 ?
The solutions to the equation (3^3x^2+100)/3 =0 are x=(10)/(3sqrt(3))i,x=-(10)/(3sqrt(3))i
Find the zeros of (3^3x^2+100)/3 =0
The zeros of (3^3x^2+100)/3 =0 are x=(10)/(3sqrt(3))i,x=-(10)/(3sqrt(3))i