What are the solutions to the equation completesquare 26x^2-sqrt(13)x ?

The solutions to the equation completesquare 26x^2-sqrt(13)x are 26(x-1/(4sqrt(13)))^2-1/8

Find the zeros of completesquare 26x^2-sqrt(13)x

The zeros of completesquare 26x^2-sqrt(13)x are 26(x-1/(4sqrt(13)))^2-1/8

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complete the square

26 x^{2} - 13 x

26 (x - \frac{1}{4 13})^{2} - \frac{1}{8}

Solution steps

26 x^{2} - 13 x

Write

26 x^{2} - 13 x

in the form:

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

Factor out

26

26 (x^{2} - \frac{x}{2 13})

2 a = - \frac{1}{2 13} : a = - \frac{1}{4 13}

Add and subtract

(- \frac{1}{4 13})^{2}

26 (x^{2} - \frac{x}{2 13} + (- \frac{1}{4 13})^{2} - (- \frac{1}{4 13})^{2})

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

x^{2} - \frac{1}{2 13} x + (- \frac{1}{4 13})^{2} = (x - \frac{1}{4 13})^{2}

26 ((x - \frac{1}{4 13})^{2} - (- \frac{1}{4 13})^{2})

Simplify

26 (x - \frac{1}{4 13})^{2} - \frac{1}{8}

2 x^{2} - 30 = 70

16 - 12 x^{2} = 0

12 x^{2} + 15 x - 21 = 0

t, 15 m = \frac{( \frac{10 m}{s ^{2}} ) \cdot t ^{2}}{2}

x^{2} + 2 x - 1 = 10 x + 8

What are the solutions to the equation completesquare 26x^2-sqrt(13)x ?
The solutions to the equation completesquare 26x^2-sqrt(13)x are 26(x-1/(4sqrt(13)))^2-1/8
Find the zeros of completesquare 26x^2-sqrt(13)x
The zeros of completesquare 26x^2-sqrt(13)x are 26(x-1/(4sqrt(13)))^2-1/8