What are the solutions to the equation completesquare 3y^2+9y+15 ?

The solutions to the equation completesquare 3y^2+9y+15 are 3(y+3/2)^2+33/4

Find the zeros of completesquare 3y^2+9y+15

The zeros of completesquare 3y^2+9y+15 are 3(y+3/2)^2+33/4

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complete the square

3 y^{2} + 9 y + 15

3 (y + \frac{3}{2})^{2} + \frac{33}{4}

Solution steps

3 y^{2} + 9 y + 15

Write

3 y^{2} + 9 y + 15

in the form:

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

Factor out

3

3 (y^{2} + 3 y + 5)

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

Add and subtract

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

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

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

y^{2} + 3 y + (\frac{3}{2})^{2} = (y + \frac{3}{2})^{2}

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

Simplify

3 (y + \frac{3}{2})^{2} + \frac{33}{4}

a x^{2} - (a + 2) x - 1 = 0

x, x^{2} y + x - y + 1 = 0

z^{2} - 11 z = 0

x^{2} = (531 mod 2021)

2 x^{2} + 12 x = 3

What are the solutions to the equation completesquare 3y^2+9y+15 ?
The solutions to the equation completesquare 3y^2+9y+15 are 3(y+3/2)^2+33/4
Find the zeros of completesquare 3y^2+9y+15
The zeros of completesquare 3y^2+9y+15 are 3(y+3/2)^2+33/4