What are the solutions to the equation 3x^2+3x+8=0 ?

The solutions to the equation 3x^2+3x+8=0 are x=-1/2+i(sqrt(87))/6 ,x=-1/2-i(sqrt(87))/6

Find the zeros of 3x^2+3x+8=0

The zeros of 3x^2+3x+8=0 are x=-1/2+i(sqrt(87))/6 ,x=-1/2-i(sqrt(87))/6

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3 x^{2} + 3 x + 8 = 0

x = - \frac{1}{2} + i \frac{87}{6}, x = - \frac{1}{2} - i \frac{87}{6}

Solution steps

3 x^{2} + 3 x + 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 3 \cdot 8}{2 \cdot 3}

Simplify

3^{2} - 4 \cdot 3 \cdot 8 : 87 i

x_{1, 2} = \frac{- 3 \pm 87 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 3 + 87 i}{2 \cdot 3}, x_{2} = \frac{- 3 - 87 i}{2 \cdot 3}

x = \frac{- 3 + 87 i}{2 \cdot 3} : - \frac{1}{2} + i \frac{87}{6}

x = \frac{- 3 - 87 i}{2 \cdot 3} : - \frac{1}{2} - i \frac{87}{6}

The solutions to the quadratic equation are:

x = - \frac{1}{2} + i \frac{87}{6}, x = - \frac{1}{2} - i \frac{87}{6}

5 x^{2} + 8 x - 2 = 0

x^{2} - 2 x = 8 (x - 3)

16 (4 - 3 m) = 96 (- m^{2} + 1)

(5 x - 3) (x + 6) = 0

5 w^{2} + 13 w = - 15

What are the solutions to the equation 3x^2+3x+8=0 ?
The solutions to the equation 3x^2+3x+8=0 are x=-1/2+i(sqrt(87))/6 ,x=-1/2-i(sqrt(87))/6
Find the zeros of 3x^2+3x+8=0
The zeros of 3x^2+3x+8=0 are x=-1/2+i(sqrt(87))/6 ,x=-1/2-i(sqrt(87))/6