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

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

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

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

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

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

Solution steps

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

Solve with the quadratic formula

x_{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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

x^{2} + 2 = x

\frac{1}{4} x^{2} - 12 = - 3

x^{2} + 12 x + 36 = 49

x^{2} - 45 x - 4

3 x^{2} + 14 x - 6 = 0

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