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

The solutions to the equation completesquare 5x^2+8x are 5(x+4/5)^2-16/5

Find the zeros of completesquare 5x^2+8x

The zeros of completesquare 5x^2+8x are 5(x+4/5)^2-16/5

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complete the square

5 x^{2} + 8 x

5 (x + \frac{4}{5})^{2} - \frac{16}{5}

Solution steps

5 x^{2} + 8 x

Write

5 x^{2} + 8 x

in the form:

x^{2} + 2 a x + a^{2}

Factor out

5

5 (x^{2} + \frac{8 x}{5})

2 a = \frac{8}{5} : a = \frac{4}{5}

Add and subtract

(\frac{4}{5})^{2}

5 (x^{2} + \frac{8 x}{5} + (\frac{4}{5})^{2} - (\frac{4}{5})^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + \frac{8}{5} x + (\frac{4}{5})^{2} = (x + \frac{4}{5})^{2}

5 ((x + \frac{4}{5})^{2} - (\frac{4}{5})^{2})

Simplify

5 (x + \frac{4}{5})^{2} - \frac{16}{5}

3 x^{2} - 17 x = 0

x^{2} - x - 100 = 0

x^{2} = 7 0^{2} + 10 5^{2}

\frac{1}{4} x^{2} - 2 x - 12

2 x^{2} + 7 x + 6

What are the solutions to the equation completesquare 5x^2+8x ?
The solutions to the equation completesquare 5x^2+8x are 5(x+4/5)^2-16/5
Find the zeros of completesquare 5x^2+8x
The zeros of completesquare 5x^2+8x are 5(x+4/5)^2-16/5