What are the solutions to the equation completesquare 2x^2+6x+3 ?

The solutions to the equation completesquare 2x^2+6x+3 are 2(x+3/2)^2-3/2

Find the zeros of completesquare 2x^2+6x+3

The zeros of completesquare 2x^2+6x+3 are 2(x+3/2)^2-3/2

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complete the square

2 x^{2} + 6 x + 3

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

Solution steps

2 x^{2} + 6 x + 3

Write

2 x^{2} + 6 x + 3

in the form:

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

Factor out

2

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

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

Add and subtract

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

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

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

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

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

Simplify

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

11 m^{2} - 11 m + 3 = 6 m^{2}

x, (x + y)^{2} = 2 x + 2 y

v^{2} - 9 v + 18 = 0

8 (- x^{2} - 1) = - 24

7 p^{2} = 35 p + 168

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