What are the solutions to the equation 5x^2+8x=-4 ?

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

Find the zeros of 5x^2+8x=-4

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

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5 x^{2} + 8 x = - 4

x = - \frac{4}{5} + i \frac{2}{5}, x = - \frac{4}{5} - i \frac{2}{5}

Solution steps

5 x^{2} + 8 x = - 4

Move

4

to the left side

5 x^{2} + 8 x + 4 = 0

Solve with the quadratic formula

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

Simplify

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

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

Separate the solutions

x_{1} = \frac{- 8 + 4 i}{2 \cdot 5}, x_{2} = \frac{- 8 - 4 i}{2 \cdot 5}

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

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

The solutions to the quadratic equation are:

x = - \frac{4}{5} + i \frac{2}{5}, x = - \frac{4}{5} - i \frac{2}{5}

2 x^{2} + 16 x - 59 = 9

x^{2} + 4 x = 15

10 m^{2} + 9 = 499

x^{2} = 36

\frac{1}{7} \cdot 7

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