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

The solutions to the equation 6x^2+7x+7=0 are x=-7/12+i(sqrt(119))/(12),x=-7/12-i(sqrt(119))/(12)

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

The zeros of 6x^2+7x+7=0 are x=-7/12+i(sqrt(119))/(12),x=-7/12-i(sqrt(119))/(12)

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

x = - \frac{7}{12} + i \frac{119}{12}, x = - \frac{7}{12} - i \frac{119}{12}

Solution steps

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

Solve with the quadratic formula

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

Simplify

7^{2} - 4 \cdot 6 \cdot 7 : 119 i

x_{1, 2} = \frac{- 7 \pm 119 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 7 + 119 i}{2 \cdot 6}, x_{2} = \frac{- 7 - 119 i}{2 \cdot 6}

x = \frac{- 7 + 119 i}{2 \cdot 6} : - \frac{7}{12} + i \frac{119}{12}

x = \frac{- 7 - 119 i}{2 \cdot 6} : - \frac{7}{12} - i \frac{119}{12}

The solutions to the quadratic equation are:

x = - \frac{7}{12} + i \frac{119}{12}, x = - \frac{7}{12} - i \frac{119}{12}

x, 2 x^{2} - 3 y^{2} = 5 x y

x^{2} + 19 = 100

120 = x^{2} - 586

x^{2} + 19 = 12 x

6 y^{2} + 6 y

What are the solutions to the equation 6x^2+7x+7=0 ?
The solutions to the equation 6x^2+7x+7=0 are x=-7/12+i(sqrt(119))/(12),x=-7/12-i(sqrt(119))/(12)
Find the zeros of 6x^2+7x+7=0
The zeros of 6x^2+7x+7=0 are x=-7/12+i(sqrt(119))/(12),x=-7/12-i(sqrt(119))/(12)