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

The solutions to the equation 5x^2+7x+6=0 are x=-7/10+i(sqrt(71))/(10),x=-7/10-i(sqrt(71))/(10)

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

The zeros of 5x^2+7x+6=0 are x=-7/10+i(sqrt(71))/(10),x=-7/10-i(sqrt(71))/(10)

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

x = - \frac{7}{10} + i \frac{71}{10}, x = - \frac{7}{10} - i \frac{71}{10}

Solution steps

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

Solve with the quadratic formula

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

Simplify

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

x_{1, 2} = \frac{- 7 \pm 71 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 7 + 71 i}{2 \cdot 5}, x_{2} = \frac{- 7 - 71 i}{2 \cdot 5}

x = \frac{- 7 + 71 i}{2 \cdot 5} : - \frac{7}{10} + i \frac{71}{10}

x = \frac{- 7 - 71 i}{2 \cdot 5} : - \frac{7}{10} - i \frac{71}{10}

The solutions to the quadratic equation are:

x = - \frac{7}{10} + i \frac{71}{10}, x = - \frac{7}{10} - i \frac{71}{10}

x^{2} + 17 x + 50 = 0

x^{2} + 12 x + 7 = 0

2 x^{2} - 7 x - 49 = 0

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

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

What are the solutions to the equation 5x^2+7x+6=0 ?
The solutions to the equation 5x^2+7x+6=0 are x=-7/10+i(sqrt(71))/(10),x=-7/10-i(sqrt(71))/(10)
Find the zeros of 5x^2+7x+6=0
The zeros of 5x^2+7x+6=0 are x=-7/10+i(sqrt(71))/(10),x=-7/10-i(sqrt(71))/(10)