What are the solutions to the equation 6x^2+7x+5=0 ?

The solutions to the equation 6x^2+7x+5=0 are x=-7/12+i(sqrt(71))/(12),x=-7/12-i(sqrt(71))/(12)

Find the zeros of 6x^2+7x+5=0

The zeros of 6x^2+7x+5=0 are x=-7/12+i(sqrt(71))/(12),x=-7/12-i(sqrt(71))/(12)

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6 x^{2} + 7 x + 5 = 0

x = - \frac{7}{12} + i \frac{71}{12}, x = - \frac{7}{12} - i \frac{71}{12}

Solution steps

6 x^{2} + 7 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 6 \cdot 5}{2 \cdot 6}

Simplify

7^{2} - 4 \cdot 6 \cdot 5 : 71 i

x_{1, 2} = \frac{- 7 \pm 71 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 7 + 71 i}{2 \cdot 6}, x_{2} = \frac{- 7 - 71 i}{2 \cdot 6}

x = \frac{- 7 + 71 i}{2 \cdot 6} : - \frac{7}{12} + i \frac{71}{12}

x = \frac{- 7 - 71 i}{2 \cdot 6} : - \frac{7}{12} - i \frac{71}{12}

The solutions to the quadratic equation are:

x = - \frac{7}{12} + i \frac{71}{12}, x = - \frac{7}{12} - i \frac{71}{12}

3 x^{2} + 12 x = 0

x^{2} + 7 x - 10 = - 2 x

10 x^{2} + 1000 = 0

1 0^{2} + 2 6^{2} = x^{2}

(x + 1) (x + 5) = 0

What are the solutions to the equation 6x^2+7x+5=0 ?
The solutions to the equation 6x^2+7x+5=0 are x=-7/12+i(sqrt(71))/(12),x=-7/12-i(sqrt(71))/(12)
Find the zeros of 6x^2+7x+5=0
The zeros of 6x^2+7x+5=0 are x=-7/12+i(sqrt(71))/(12),x=-7/12-i(sqrt(71))/(12)