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

The solutions to the equation 5x^2+8x+5=0 are x=-4/5+i 3/5 ,x=-4/5-i 3/5

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

The zeros of 5x^2+8x+5=0 are x=-4/5+i 3/5 ,x=-4/5-i 3/5

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

x = - \frac{4}{5} + i \frac{3}{5}, x = - \frac{4}{5} - i \frac{3}{5}

Solution steps

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

Solve with the quadratic formula

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

Simplify

8^{2} - 4 \cdot 5 \cdot 5 : 6 i

x_{1, 2} = \frac{- 8 \pm 6 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 8 + 6 i}{2 \cdot 5}, x_{2} = \frac{- 8 - 6 i}{2 \cdot 5}

x = \frac{- 8 + 6 i}{2 \cdot 5} : - \frac{4}{5} + i \frac{3}{5}

x = \frac{- 8 - 6 i}{2 \cdot 5} : - \frac{4}{5} - i \frac{3}{5}

The solutions to the quadratic equation are:

x = - \frac{4}{5} + i \frac{3}{5}, x = - \frac{4}{5} - i \frac{3}{5}

(q - 2)^{2} + 8 = 44

x^{2} + \frac{1}{3} x + 3

x^{2} - 41 x + 400 = 0

x, x^{2} - x y + y^{2} = 1

8 x - 1 = 4 x^{2}

What are the solutions to the equation 5x^2+8x+5=0 ?
The solutions to the equation 5x^2+8x+5=0 are x=-4/5+i 3/5 ,x=-4/5-i 3/5
Find the zeros of 5x^2+8x+5=0
The zeros of 5x^2+8x+5=0 are x=-4/5+i 3/5 ,x=-4/5-i 3/5