What are the solutions to the equation 8e^2+4e+7=0 ?

The solutions to the equation 8e^2+4e+7=0 are e=-1/4+i(sqrt(13))/4 ,e=-1/4-i(sqrt(13))/4

Find the zeros of 8e^2+4e+7=0

The zeros of 8e^2+4e+7=0 are e=-1/4+i(sqrt(13))/4 ,e=-1/4-i(sqrt(13))/4

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8 e^{2} + 4 e + 7 = 0

e = - \frac{1}{4} + i \frac{13}{4}, e = - \frac{1}{4} - i \frac{13}{4}

Solution steps

8 e^{2} + 4 e + 7 = 0

Solve with the quadratic formula

e_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 8 \cdot 7}{2 \cdot 8}

Simplify

4^{2} - 4 \cdot 8 \cdot 7 : 413 i

e_{1, 2} = \frac{- 4 \pm 4 13 i}{2 \cdot 8}

Separate the solutions

e_{1} = \frac{- 4 + 4 13 i}{2 \cdot 8}, e_{2} = \frac{- 4 - 4 13 i}{2 \cdot 8}

e = \frac{- 4 + 4 13 i}{2 \cdot 8} : - \frac{1}{4} + i \frac{13}{4}

e = \frac{- 4 - 4 13 i}{2 \cdot 8} : - \frac{1}{4} - i \frac{13}{4}

The solutions to the quadratic equation are:

e = - \frac{1}{4} + i \frac{13}{4}, e = - \frac{1}{4} - i \frac{13}{4}

4 y^{2} + 24 y

3 m^{2} - 5 m + 2 = 0

15 x^{2} + x - 6 = 0

x^{2} + 10 x = 42

- 3 x^{2} + 18 x + 21 = 0

What are the solutions to the equation 8e^2+4e+7=0 ?
The solutions to the equation 8e^2+4e+7=0 are e=-1/4+i(sqrt(13))/4 ,e=-1/4-i(sqrt(13))/4
Find the zeros of 8e^2+4e+7=0
The zeros of 8e^2+4e+7=0 are e=-1/4+i(sqrt(13))/4 ,e=-1/4-i(sqrt(13))/4