What are the solutions to the equation completesquare 2x^2-(14sqrt(10))/5 x ?

The solutions to the equation completesquare 2x^2-(14sqrt(10))/5 x are 2(x-7/(sqrt(10)))^2-49/5

Find the zeros of completesquare 2x^2-(14sqrt(10))/5 x

The zeros of completesquare 2x^2-(14sqrt(10))/5 x are 2(x-7/(sqrt(10)))^2-49/5

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complete the square

2 x^{2} - \frac{14 10}{5} x

2 (x - \frac{7}{10})^{2} - \frac{49}{5}

Solution steps

2 x^{2} - \frac{14 10}{5} x

Write in the standard form

a x^{2} + b x + c

2 x^{2} - \frac{14 2 x}{5}

Write

2 x^{2} - \frac{14 2 x}{5}

in the form:

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

Factor out

2

2 (x^{2} - \frac{7 2 x}{5})

2 a = - \frac{7 2}{5} : a = - \frac{7}{10}

Add and subtract

(- \frac{7}{10})^{2}

2 (x^{2} - \frac{7 2 x}{5} + (- \frac{7}{10})^{2} - (- \frac{7}{10})^{2})

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

x^{2} - \frac{7 2}{5} x + (- \frac{7}{10})^{2} = (x - \frac{7}{10})^{2}

2 ((x - \frac{7}{10})^{2} - (- \frac{7}{10})^{2})

Simplify

2 (x - \frac{7}{10})^{2} - \frac{49}{5}

x, x^{2} + y^{2} + z^{2} - 2 x - 4 y + 4 z = 0

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

x, x^{2} y + x y^{2} = 4

u^{2} + 10 u + 24 = 0

x^{2} - 9 x - 5 = 23

What are the solutions to the equation completesquare 2x^2-(14sqrt(10))/5 x ?
The solutions to the equation completesquare 2x^2-(14sqrt(10))/5 x are 2(x-7/(sqrt(10)))^2-49/5
Find the zeros of completesquare 2x^2-(14sqrt(10))/5 x
The zeros of completesquare 2x^2-(14sqrt(10))/5 x are 2(x-7/(sqrt(10)))^2-49/5