What are the solutions to the equation 5x^2+12x+10=0 ?

The solutions to the equation 5x^2+12x+10=0 are x=-6/5+i(sqrt(14))/5 ,x=-6/5-i(sqrt(14))/5

Find the zeros of 5x^2+12x+10=0

The zeros of 5x^2+12x+10=0 are x=-6/5+i(sqrt(14))/5 ,x=-6/5-i(sqrt(14))/5

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5 x^{2} + 12 x + 10 = 0

x = - \frac{6}{5} + i \frac{14}{5}, x = - \frac{6}{5} - i \frac{14}{5}

Solution steps

5 x^{2} + 12 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 5 \cdot 10}{2 \cdot 5}

Simplify

1 2^{2} - 4 \cdot 5 \cdot 10 : 214 i

x_{1, 2} = \frac{- 12 \pm 2 14 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 12 + 2 14 i}{2 \cdot 5}, x_{2} = \frac{- 12 - 2 14 i}{2 \cdot 5}

x = \frac{- 12 + 2 14 i}{2 \cdot 5} : - \frac{6}{5} + i \frac{14}{5}

x = \frac{- 12 - 2 14 i}{2 \cdot 5} : - \frac{6}{5} - i \frac{14}{5}

The solutions to the quadratic equation are:

x = - \frac{6}{5} + i \frac{14}{5}, x = - \frac{6}{5} - i \frac{14}{5}

9 x^{2} + b x + 4 = 0

x^{2} + 10 + 24 = 0

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

4 x + 3 = 4 x^{2}

x, x^{2} + y^{2} - x y = 0

What are the solutions to the equation 5x^2+12x+10=0 ?
The solutions to the equation 5x^2+12x+10=0 are x=-6/5+i(sqrt(14))/5 ,x=-6/5-i(sqrt(14))/5
Find the zeros of 5x^2+12x+10=0
The zeros of 5x^2+12x+10=0 are x=-6/5+i(sqrt(14))/5 ,x=-6/5-i(sqrt(14))/5