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

The solutions to the equation completesquare x^2-4/5 x-4 are (x-2/5)^2-104/25

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

The zeros of completesquare x^2-4/5 x-4 are (x-2/5)^2-104/25

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complete the square

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

(x - \frac{2}{5})^{2} - \frac{104}{25}

Solution steps

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

Write in the standard form

a x^{2} + b x + c

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

Write

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

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

Simplify

(x - \frac{2}{5})^{2} - \frac{104}{25}

a^{2} - a + 1 = 0

6 x^{2} = 13 x + 15

7 - \frac{1}{4} x^{2} - \frac{4}{3} x = 0

2 x^{2} + 4 x + 3

8 r^{2} - 2 r - 7 = 6 r^{2}

What are the solutions to the equation completesquare x^2-4/5 x-4 ?
The solutions to the equation completesquare x^2-4/5 x-4 are (x-2/5)^2-104/25
Find the zeros of completesquare x^2-4/5 x-4
The zeros of completesquare x^2-4/5 x-4 are (x-2/5)^2-104/25