What are the solutions to the equation 8n^2+10n+5=0 ?

The solutions to the equation 8n^2+10n+5=0 are n=-5/8+i(sqrt(15))/8 ,n=-5/8-i(sqrt(15))/8

Find the zeros of 8n^2+10n+5=0

The zeros of 8n^2+10n+5=0 are n=-5/8+i(sqrt(15))/8 ,n=-5/8-i(sqrt(15))/8

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8 n^{2} + 10 n + 5 = 0

n = - \frac{5}{8} + i \frac{15}{8}, n = - \frac{5}{8} - i \frac{15}{8}

Solution steps

8 n^{2} + 10 n + 5 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 8 \cdot 5}{2 \cdot 8}

Simplify

1 0^{2} - 4 \cdot 8 \cdot 5 : 215 i

n_{1, 2} = \frac{- 10 \pm 2 15 i}{2 \cdot 8}

Separate the solutions

n_{1} = \frac{- 10 + 2 15 i}{2 \cdot 8}, n_{2} = \frac{- 10 - 2 15 i}{2 \cdot 8}

n = \frac{- 10 + 2 15 i}{2 \cdot 8} : - \frac{5}{8} + i \frac{15}{8}

n = \frac{- 10 - 2 15 i}{2 \cdot 8} : - \frac{5}{8} - i \frac{15}{8}

The solutions to the quadratic equation are:

n = - \frac{5}{8} + i \frac{15}{8}, n = - \frac{5}{8} - i \frac{15}{8}

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

7 c^{2} = c + 6

x^{2} + x - 20 = 0

p^{2} + 4 p = 0

b^{2} = - 36

What are the solutions to the equation 8n^2+10n+5=0 ?
The solutions to the equation 8n^2+10n+5=0 are n=-5/8+i(sqrt(15))/8 ,n=-5/8-i(sqrt(15))/8
Find the zeros of 8n^2+10n+5=0
The zeros of 8n^2+10n+5=0 are n=-5/8+i(sqrt(15))/8 ,n=-5/8-i(sqrt(15))/8