What are the solutions to the equation completesquare 64x^2-80x ?

The solutions to the equation completesquare 64x^2-80x are 64(x-5/8)^2-25

Find the zeros of completesquare 64x^2-80x

The zeros of completesquare 64x^2-80x are 64(x-5/8)^2-25

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complete the square

64 x^{2} - 80 x

64 (x - \frac{5}{8})^{2} - 25

Solution steps

64 x^{2} - 80 x

Write

64 x^{2} - 80 x

in the form:

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

Factor out

64

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

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

Add and subtract

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

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

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

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

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

Simplify

64 (x - \frac{5}{8})^{2} - 25

4 = 3 x^{2} - 26 x + 44

x^{2} + 20 x + 28 = 0

4 y^{2} = 8 y + 5

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

p, \frac{3 p ^{2} - x}{y} = \frac{- x + 17}{- 4}

What are the solutions to the equation completesquare 64x^2-80x ?
The solutions to the equation completesquare 64x^2-80x are 64(x-5/8)^2-25
Find the zeros of completesquare 64x^2-80x
The zeros of completesquare 64x^2-80x are 64(x-5/8)^2-25