What are the solutions to the equation completesquare (5*x)/8+(x^2)/(51) ?

The solutions to the equation completesquare (5*x)/8+(x^2)/(51) are 1/51 (x+255/16)^2-1275/256

Find the zeros of completesquare (5*x)/8+(x^2)/(51)

The zeros of completesquare (5*x)/8+(x^2)/(51) are 1/51 (x+255/16)^2-1275/256

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complete the square

\frac{5 \cdot x}{8} + \frac{x ^{2}}{51}

\frac{1}{51} (x + \frac{255}{16})^{2} - \frac{1275}{256}

Solution steps

\frac{5 x}{8} + \frac{x ^{2}}{51}

Write in the standard form

a x^{2} + b x + c

\frac{1 \cdot x ^{2}}{51} + \frac{5 x}{8}

Write

\frac{1 x ^{2}}{51} + \frac{5 x}{8}

in the form:

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

Factor out

\frac{1}{51}

\frac{1}{51} (x^{2} + \frac{255 x}{8})

2 a = \frac{255}{8} : a = \frac{255}{16}

Add and subtract

(\frac{255}{16})^{2}

\frac{1}{51} (x^{2} + \frac{255 x}{8} + (\frac{255}{16})^{2} - (\frac{255}{16})^{2})

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

x^{2} + \frac{255}{8} x + (\frac{255}{16})^{2} = (x + \frac{255}{16})^{2}

\frac{1}{51} ((x + \frac{255}{16})^{2} - (\frac{255}{16})^{2})

Simplify

\frac{1}{51} (x + \frac{255}{16})^{2} - \frac{1275}{256}

2 x^{2} - 25 x + 50 = 0

- 160 x^{2} + 450 x - 300 = 0

g (g + 10) = - 6

1000 x \cdot \frac{x}{2} = 5643 (104 - x)

9^{2} + 1 5^{2} = c^{2}

What are the solutions to the equation completesquare (5*x)/8+(x^2)/(51) ?
The solutions to the equation completesquare (5*x)/8+(x^2)/(51) are 1/51 (x+255/16)^2-1275/256
Find the zeros of completesquare (5*x)/8+(x^2)/(51)
The zeros of completesquare (5*x)/8+(x^2)/(51) are 1/51 (x+255/16)^2-1275/256