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

The solutions to the equation 6x^2+5x+6=0 are x=-5/12+i(sqrt(119))/(12),x=-5/12-i(sqrt(119))/(12)

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

The zeros of 6x^2+5x+6=0 are x=-5/12+i(sqrt(119))/(12),x=-5/12-i(sqrt(119))/(12)

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

x = - \frac{5}{12} + i \frac{119}{12}, x = - \frac{5}{12} - i \frac{119}{12}

Solution steps

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

Solve with the quadratic formula

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

Simplify

5^{2} - 4 \cdot 6 \cdot 6 : 119 i

x_{1, 2} = \frac{- 5 \pm 119 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 5 + 119 i}{2 \cdot 6}, x_{2} = \frac{- 5 - 119 i}{2 \cdot 6}

x = \frac{- 5 + 119 i}{2 \cdot 6} : - \frac{5}{12} + i \frac{119}{12}

x = \frac{- 5 - 119 i}{2 \cdot 6} : - \frac{5}{12} - i \frac{119}{12}

The solutions to the quadratic equation are:

x = - \frac{5}{12} + i \frac{119}{12}, x = - \frac{5}{12} - i \frac{119}{12}

x^{2} - 16 = 56

x^{2} = 4^{2} + 8^{2}

x^{2} + 5 x - 100 = 0

3 x^{2} + 0 x - 7 = 0

x^{2} + 3 3^{2} = 6 5^{2}

What are the solutions to the equation 6x^2+5x+6=0 ?
The solutions to the equation 6x^2+5x+6=0 are x=-5/12+i(sqrt(119))/(12),x=-5/12-i(sqrt(119))/(12)
Find the zeros of 6x^2+5x+6=0
The zeros of 6x^2+5x+6=0 are x=-5/12+i(sqrt(119))/(12),x=-5/12-i(sqrt(119))/(12)