What are the solutions to the equation completesquare 25x^2+30x+12 ?

The solutions to the equation completesquare 25x^2+30x+12 are 25(x+3/5)^2+3

Find the zeros of completesquare 25x^2+30x+12

The zeros of completesquare 25x^2+30x+12 are 25(x+3/5)^2+3

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complete the square

25 x^{2} + 30 x + 12

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

Solution steps

25 x^{2} + 30 x + 12

Write

25 x^{2} + 30 x + 12

in the form:

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

Factor out

25

25 (x^{2} + \frac{6 x}{5} + \frac{12}{25})

2 a = \frac{6}{5} : a = \frac{3}{5}

Add and subtract

(\frac{3}{5})^{2}

25 (x^{2} + \frac{6 x}{5} + \frac{12}{25} + (\frac{3}{5})^{2} - (\frac{3}{5})^{2})

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

x^{2} + \frac{6}{5} x + (\frac{3}{5})^{2} = (x + \frac{3}{5})^{2}

25 ((x + \frac{3}{5})^{2} + \frac{12}{25} - (\frac{3}{5})^{2})

Simplify

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

t, h = v t - g t^{2}

9 x^{2} - 12 x - 14 = 0

x^{2} - 13 x + 1 = - 9 x + 6

x^{2} + 3 x + 10

x, x^{2} = a x y + b y

What are the solutions to the equation completesquare 25x^2+30x+12 ?
The solutions to the equation completesquare 25x^2+30x+12 are 25(x+3/5)^2+3
Find the zeros of completesquare 25x^2+30x+12
The zeros of completesquare 25x^2+30x+12 are 25(x+3/5)^2+3