What are the solutions to the equation completesquare x^2+2/5 x+3 ?

The solutions to the equation completesquare x^2+2/5 x+3 are (x+1/5)^2+74/25

Find the zeros of completesquare x^2+2/5 x+3

The zeros of completesquare x^2+2/5 x+3 are (x+1/5)^2+74/25

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complete the square

x^{2} + \frac{2}{5} x + 3

(x + \frac{1}{5})^{2} + \frac{74}{25}

Solution steps

x^{2} + \frac{2}{5} x + 3

Write in the standard form

a x^{2} + b x + c

x^{2} + \frac{2 x}{5} + 3

Write

x^{2} + \frac{2 x}{5} + 3

in the form:

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

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

Add and subtract

(\frac{1}{5})^{2}

x^{2} + \frac{2 x}{5} + 3 + (\frac{1}{5})^{2} - (\frac{1}{5})^{2}

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

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

(x + \frac{1}{5})^{2} + 3 - (\frac{1}{5})^{2}

Simplify

(x + \frac{1}{5})^{2} + \frac{74}{25}

6 x^{2} + 7 x + 3 = 0

x^{2} - 7 x - 18 = 0

(v + 3) (v + 11) - 57 = - v (v + 8)

(2 x - 1) (x - 3) = 0

y, x^{3} y^{2} - x y = x + y

What are the solutions to the equation completesquare x^2+2/5 x+3 ?
The solutions to the equation completesquare x^2+2/5 x+3 are (x+1/5)^2+74/25
Find the zeros of completesquare x^2+2/5 x+3
The zeros of completesquare x^2+2/5 x+3 are (x+1/5)^2+74/25