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

The solutions to the equation 5x^2+5x+8=0 are x=-1/2+i(3sqrt(15))/(10),x=-1/2-i(3sqrt(15))/(10)

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

The zeros of 5x^2+5x+8=0 are x=-1/2+i(3sqrt(15))/(10),x=-1/2-i(3sqrt(15))/(10)

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

x = - \frac{1}{2} + i \frac{3 15}{10}, x = - \frac{1}{2} - i \frac{3 15}{10}

Solution steps

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 5 \cdot 8}{2 \cdot 5}

Simplify

5^{2} - 4 \cdot 5 \cdot 8 : 315 i

x_{1, 2} = \frac{- 5 \pm 3 15 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 5 + 3 15 i}{2 \cdot 5}, x_{2} = \frac{- 5 - 3 15 i}{2 \cdot 5}

x = \frac{- 5 + 3 15 i}{2 \cdot 5} : - \frac{1}{2} + i \frac{3 15}{10}

x = \frac{- 5 - 3 15 i}{2 \cdot 5} : - \frac{1}{2} - i \frac{3 15}{10}

The solutions to the quadratic equation are:

x = - \frac{1}{2} + i \frac{3 15}{10}, x = - \frac{1}{2} - i \frac{3 15}{10}

∣ x + 2 ∣ < 3 ∣ x ∣

16 = \frac{5}{4} (6 x + 20)

0. 2^{3}

- \frac{n}{3} - 2 = - 18

7^{3 l o g_{7} (5)}

What are the solutions to the equation 5x^2+5x+8=0 ?
The solutions to the equation 5x^2+5x+8=0 are x=-1/2+i(3sqrt(15))/(10),x=-1/2-i(3sqrt(15))/(10)
Find the zeros of 5x^2+5x+8=0
The zeros of 5x^2+5x+8=0 are x=-1/2+i(3sqrt(15))/(10),x=-1/2-i(3sqrt(15))/(10)