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

The solutions to the equation 5x^2+8=-4x are x=-2/5+i 6/5 ,x=-2/5-i 6/5

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

The zeros of 5x^2+8=-4x are x=-2/5+i 6/5 ,x=-2/5-i 6/5

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

x = - \frac{2}{5} + i \frac{6}{5}, x = - \frac{2}{5} - i \frac{6}{5}

Solution steps

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

Move

4 x

to the left side

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

Write in the standard form

a x^{2} + b x + c = 0

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

Solve with the quadratic formula

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

Simplify

4^{2} - 4 \cdot 5 \cdot 8 : 12 i

x_{1, 2} = \frac{- 4 \pm 12 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 4 + 12 i}{2 \cdot 5}, x_{2} = \frac{- 4 - 12 i}{2 \cdot 5}

x = \frac{- 4 + 12 i}{2 \cdot 5} : - \frac{2}{5} + i \frac{6}{5}

x = \frac{- 4 - 12 i}{2 \cdot 5} : - \frac{2}{5} - i \frac{6}{5}

The solutions to the quadratic equation are:

x = - \frac{2}{5} + i \frac{6}{5}, x = - \frac{2}{5} - i \frac{6}{5}

n^{2} - 14 n + 40 = 0

x^{2} - 10 x - 11 = 0

x^{2} = - 2 + 3 x

x, 3 x^{2} + 3 y^{2} + a x = 0

x (3 x + 11) - 20 = 0

What are the solutions to the equation 5x^2+8=-4x ?
The solutions to the equation 5x^2+8=-4x are x=-2/5+i 6/5 ,x=-2/5-i 6/5
Find the zeros of 5x^2+8=-4x
The zeros of 5x^2+8=-4x are x=-2/5+i 6/5 ,x=-2/5-i 6/5