What are the solutions to the equation completesquare 9x^2+6x+5 ?

The solutions to the equation completesquare 9x^2+6x+5 are 9(x+1/3)^2+4

Find the zeros of completesquare 9x^2+6x+5

The zeros of completesquare 9x^2+6x+5 are 9(x+1/3)^2+4

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complete the square

9 x^{2} + 6 x + 5

9 (x + \frac{1}{3})^{2} + 4

Solution steps

9 x^{2} + 6 x + 5

Write

9 x^{2} + 6 x + 5

in the form:

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

Factor out

9

9 (x^{2} + \frac{2 x}{3} + \frac{5}{9})

2 a = \frac{2}{3} : a = \frac{1}{3}

Add and subtract

(\frac{1}{3})^{2}

9 (x^{2} + \frac{2 x}{3} + \frac{5}{9} + (\frac{1}{3})^{2} - (\frac{1}{3})^{2})

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

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

9 ((x + \frac{1}{3})^{2} + \frac{5}{9} - (\frac{1}{3})^{2})

Simplify

9 (x + \frac{1}{3})^{2} + 4

x^{2} - 15 = 2 x

0 = 6 x^{2} - 8

y, x^{2} y^{2} + 3 x y = 1

30 x^{2} + 13 x - 10 = 0

x^{2} - 6 x + 10 = 0

What are the solutions to the equation completesquare 9x^2+6x+5 ?
The solutions to the equation completesquare 9x^2+6x+5 are 9(x+1/3)^2+4
Find the zeros of completesquare 9x^2+6x+5
The zeros of completesquare 9x^2+6x+5 are 9(x+1/3)^2+4