What are the solutions to the equation completesquare x^2-1/5 x-6 ?

The solutions to the equation completesquare x^2-1/5 x-6 are (x-1/10)^2-601/100

Find the zeros of completesquare x^2-1/5 x-6

The zeros of completesquare x^2-1/5 x-6 are (x-1/10)^2-601/100

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complete the square

x^{2} - \frac{1}{5} x - 6

(x - \frac{1}{10})^{2} - \frac{601}{100}

Solution steps

x^{2} - \frac{1}{5} x - 6

Write in the standard form

a x^{2} + b x + c

x^{2} - \frac{x}{5} - 6

Write

x^{2} - \frac{x}{5} - 6

in the form:

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

2 a = - \frac{1}{5} : a = - \frac{1}{10}

Add and subtract

(- \frac{1}{10})^{2}

x^{2} - \frac{x}{5} - 6 + (- \frac{1}{10})^{2} - (- \frac{1}{10})^{2}

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

x^{2} - \frac{1}{5} x + (- \frac{1}{10})^{2} = (x - \frac{1}{10})^{2}

(x - \frac{1}{10})^{2} - 6 - (- \frac{1}{10})^{2}

Simplify

(x - \frac{1}{10})^{2} - \frac{601}{100}

x^{2} - 13 = 4 x

- y^{2} + 2 y = 0

3 x^{2} = - 1

X^{2} - 36 = 0

4 x^{2} - 2 (x - \frac{1}{3}) = \frac{4}{3} x

What are the solutions to the equation completesquare x^2-1/5 x-6 ?
The solutions to the equation completesquare x^2-1/5 x-6 are (x-1/10)^2-601/100
Find the zeros of completesquare x^2-1/5 x-6
The zeros of completesquare x^2-1/5 x-6 are (x-1/10)^2-601/100