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

The solutions to the equation 5p^2+2p+6=0 are p=-1/5+i(sqrt(29))/5 ,p=-1/5-i(sqrt(29))/5

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

The zeros of 5p^2+2p+6=0 are p=-1/5+i(sqrt(29))/5 ,p=-1/5-i(sqrt(29))/5

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

p = - \frac{1}{5} + i \frac{29}{5}, p = - \frac{1}{5} - i \frac{29}{5}

Solution steps

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

Solve with the quadratic formula

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

Simplify

2^{2} - 4 \cdot 5 \cdot 6 : 229 i

p_{1, 2} = \frac{- 2 \pm 2 29 i}{2 \cdot 5}

Separate the solutions

p_{1} = \frac{- 2 + 2 29 i}{2 \cdot 5}, p_{2} = \frac{- 2 - 2 29 i}{2 \cdot 5}

p = \frac{- 2 + 2 29 i}{2 \cdot 5} : - \frac{1}{5} + i \frac{29}{5}

p = \frac{- 2 - 2 29 i}{2 \cdot 5} : - \frac{1}{5} - i \frac{29}{5}

The solutions to the quadratic equation are:

p = - \frac{1}{5} + i \frac{29}{5}, p = - \frac{1}{5} - i \frac{29}{5}

x^{2} - 14 x - 18 = - 8 x - 2

x^{2} + 14 x + 45 = 96

5 m^{2} - 7 m = 5

3 x^{2} + 20 x + 12 = 0

x, x^{2} - 9 = 0

What are the solutions to the equation 5p^2+2p+6=0 ?
The solutions to the equation 5p^2+2p+6=0 are p=-1/5+i(sqrt(29))/5 ,p=-1/5-i(sqrt(29))/5
Find the zeros of 5p^2+2p+6=0
The zeros of 5p^2+2p+6=0 are p=-1/5+i(sqrt(29))/5 ,p=-1/5-i(sqrt(29))/5