What are the solutions to the equation completesquare x^2+4/5 x-8 ?

The solutions to the equation completesquare x^2+4/5 x-8 are (x+2/5)^2-204/25

Find the zeros of completesquare x^2+4/5 x-8

The zeros of completesquare x^2+4/5 x-8 are (x+2/5)^2-204/25

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complete the square

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

(x + \frac{2}{5})^{2} - \frac{204}{25}

Solution steps

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

Write in the standard form

a x^{2} + b x + c

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

Write

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

in the form:

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

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

Add and subtract

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

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

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

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

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

Simplify

(x + \frac{2}{5})^{2} - \frac{204}{25}

25 x^{2} - 5625 = 0

(m - 2)^{2} = 5 - 2 (2 m + 7) + 6^{2} + 2

x^{2} + 7 x - 170 = 0

\frac{2}{3} (x + 8)^{2} - 66 = 0

2 x (x - 2) = x^{2} - 10

What are the solutions to the equation completesquare x^2+4/5 x-8 ?
The solutions to the equation completesquare x^2+4/5 x-8 are (x+2/5)^2-204/25
Find the zeros of completesquare x^2+4/5 x-8
The zeros of completesquare x^2+4/5 x-8 are (x+2/5)^2-204/25