What are the solutions to the equation 5k^2+6k+3=0 ?

The solutions to the equation 5k^2+6k+3=0 are k=-3/5+i(sqrt(6))/5 ,k=-3/5-i(sqrt(6))/5

Find the zeros of 5k^2+6k+3=0

The zeros of 5k^2+6k+3=0 are k=-3/5+i(sqrt(6))/5 ,k=-3/5-i(sqrt(6))/5

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5 k^{2} + 6 k + 3 = 0

k = - \frac{3}{5} + i \frac{6}{5}, k = - \frac{3}{5} - i \frac{6}{5}

Solution steps

5 k^{2} + 6 k + 3 = 0

Solve with the quadratic formula

k_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 5 \cdot 3}{2 \cdot 5}

Simplify

6^{2} - 4 \cdot 5 \cdot 3 : 26 i

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

Separate the solutions

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

k = \frac{- 6 + 2 6 i}{2 \cdot 5} : - \frac{3}{5} + i \frac{6}{5}

k = \frac{- 6 - 2 6 i}{2 \cdot 5} : - \frac{3}{5} - i \frac{6}{5}

The solutions to the quadratic equation are:

k = - \frac{3}{5} + i \frac{6}{5}, k = - \frac{3}{5} - i \frac{6}{5}

74 x^{2} + 1 = 10 x

x, f (a + 1) = 4 x^{2} - x + 3

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

x, 9 x^{2} + 4 y^{2} - 12 z = 0

20 x^{2} + 2740 x - 112000 = 0

What are the solutions to the equation 5k^2+6k+3=0 ?
The solutions to the equation 5k^2+6k+3=0 are k=-3/5+i(sqrt(6))/5 ,k=-3/5-i(sqrt(6))/5
Find the zeros of 5k^2+6k+3=0
The zeros of 5k^2+6k+3=0 are k=-3/5+i(sqrt(6))/5 ,k=-3/5-i(sqrt(6))/5