What are the solutions to the equation completesquare-8x^2+(8sqrt(10))/5 x ?

The solutions to the equation completesquare-8x^2+(8sqrt(10))/5 x are -8(x-1/(sqrt(10)))^2+4/5

Find the zeros of completesquare-8x^2+(8sqrt(10))/5 x

The zeros of completesquare-8x^2+(8sqrt(10))/5 x are -8(x-1/(sqrt(10)))^2+4/5

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complete the square

- 8 x^{2} + \frac{8 10}{5} x

- 8 (x - \frac{1}{10})^{2} + \frac{4}{5}

Solution steps

- 8 x^{2} + \frac{8 10}{5} x

Write in the standard form

a x^{2} + b x + c

- 8 x^{2} + \frac{8 2 x}{5}

Write

- 8 x^{2} + \frac{8 2 x}{5}

in the form:

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

Factor out

- 8

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

2 a = - \frac{2}{5} : a = - \frac{1}{10}

Add and subtract

(- \frac{1}{10})^{2}

- 8 (x^{2} - \frac{2 x}{5} + (- \frac{1}{10})^{2} - (- \frac{1}{10})^{2})

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

x^{2} - \frac{2}{5} x + (- \frac{1}{10})^{2} = (x - \frac{1}{10})^{2}

- 8 ((x - \frac{1}{10})^{2} - (- \frac{1}{10})^{2})

Simplify

- 8 (x - \frac{1}{10})^{2} + \frac{4}{5}

x, x^{2} + 4 y^{2} + 9 z^{2} = 1

x^{2} + 17 x

- 3 x^{2} - 18 x = 0

1 - 2 x - x^{2} = 0

- 6 x^{2} + 84 x - 240 = 0

What are the solutions to the equation completesquare-8x^2+(8sqrt(10))/5 x ?
The solutions to the equation completesquare-8x^2+(8sqrt(10))/5 x are -8(x-1/(sqrt(10)))^2+4/5
Find the zeros of completesquare-8x^2+(8sqrt(10))/5 x
The zeros of completesquare-8x^2+(8sqrt(10))/5 x are -8(x-1/(sqrt(10)))^2+4/5