What are the solutions to the equation 3a^2=-11a-6 ?

The solutions to the equation 3a^2=-11a-6 are a=-2/3 ,a=-3

Find the zeros of 3a^2=-11a-6

The zeros of 3a^2=-11a-6 are a=-2/3 ,a=-3

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3 a^{2} = - 11 a - 6

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

Decimal Notation

a = - 0.66666 \dots, a = - 3

Solution steps

3 a^{2} = - 11 a - 6

Move

6

to the left side

3 a^{2} + 6 = - 11 a

Move

11 a

to the left side

3 a^{2} + 6 + 11 a = 0

Write in the standard form

a x^{2} + b x + c = 0

3 a^{2} + 11 a + 6 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- 11 \pm 1 1 ^{2} - 4 \cdot 3 \cdot 6}{2 \cdot 3}

1 1^{2} - 4 \cdot 3 \cdot 6 = 7

a_{1, 2} = \frac{- 11 \pm 7}{2 \cdot 3}

Separate the solutions

a_{1} = \frac{- 11 + 7}{2 \cdot 3}, a_{2} = \frac{- 11 - 7}{2 \cdot 3}

a = \frac{- 11 + 7}{2 \cdot 3} : - \frac{2}{3}

a = \frac{- 11 - 7}{2 \cdot 3} : - 3

The solutions to the quadratic equation are:

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

4 - x^{2} - 2 x

11 x^{2} + 7 x - 30 = 0

x^{2} + 6 x + 5 = 0

8 x^{2} = - 2 + 17 x

y, x^{2} + x y + y^{2} = 3

What are the solutions to the equation 3a^2=-11a-6 ?
The solutions to the equation 3a^2=-11a-6 are a=-2/3 ,a=-3
Find the zeros of 3a^2=-11a-6
The zeros of 3a^2=-11a-6 are a=-2/3 ,a=-3