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

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

Find the zeros of completesquare y^2+3y

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

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complete the square

y^{2} + 3 y

(y + \frac{3}{2})^{2} - \frac{9}{4}

Solution steps

y^{2} + 3 y

Write

y^{2} + 3 y

in the form:

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

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

Add and subtract

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

y^{2} + 3 y + (\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}

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

Simplify

(y + \frac{3}{2})^{2} - \frac{9}{4}

x^{2} - 10 - 24 = 0

x^{2} + 6 x + 3 = 1

x^{2} = 40 - 18 x

3 x - 2 = - 9 x^{2}

3 b^{2} + 3 b = 6

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