What are the solutions to the equation 1/3 a^2+a=0 ?

The solutions to the equation 1/3 a^2+a=0 are a=0,a=-3

Find the zeros of 1/3 a^2+a=0

The zeros of 1/3 a^2+a=0 are a=0,a=-3

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\frac{1}{3} a^{2} + a = 0

a = 0, a = - 3

Solution steps

\frac{1}{3} a^{2} + a = 0

Multiply both sides by

3

a^{2} + 3 a = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

3^{2} - 4 \cdot 1 \cdot 0 = 3

a_{1, 2} = \frac{- 3 \pm 3}{2 \cdot 1}

Separate the solutions

a_{1} = \frac{- 3 + 3}{2 \cdot 1}, a_{2} = \frac{- 3 - 3}{2 \cdot 1}

a = \frac{- 3 + 3}{2 \cdot 1} : 0

a = \frac{- 3 - 3}{2 \cdot 1} : - 3

The solutions to the quadratic equation are:

a = 0, a = - 3

x^{2} = 5 (5 + 15)

\frac{1}{5} a^{2} - \frac{3}{5} a = 0

2 x^{2} + 6 x + 1

x^{2} - 90 x + 200 = 0

\frac{3}{2} x^{2} - 4 x - 1 = 0

What are the solutions to the equation 1/3 a^2+a=0 ?
The solutions to the equation 1/3 a^2+a=0 are a=0,a=-3
Find the zeros of 1/3 a^2+a=0
The zeros of 1/3 a^2+a=0 are a=0,a=-3