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

The solutions to the equation completesquare 3x^2+9x are 3(x+3/2)^2-27/4

Find the zeros of completesquare 3x^2+9x

The zeros of completesquare 3x^2+9x are 3(x+3/2)^2-27/4

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complete the square

3 x^{2} + 9 x

3 (x + \frac{3}{2})^{2} - \frac{27}{4}

Solution steps

3 x^{2} + 9 x

Write

3 x^{2} + 9 x

in the form:

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

Factor out

3

3 (x^{2} + 3 x)

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

Add and subtract

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

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

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

Simplify

3 (x + \frac{3}{2})^{2} - \frac{27}{4}

x, 10 x^{2} - 8 y - 8 y^{3} = 0

7 x + 1 = (2 x - 1)^{2}

(x - 1)^{2} + 7 = 56

2 b^{2} + 8 b - 19 = 5

- x^{2} + 11 x = 28

What are the solutions to the equation completesquare 3x^2+9x ?
The solutions to the equation completesquare 3x^2+9x are 3(x+3/2)^2-27/4
Find the zeros of completesquare 3x^2+9x
The zeros of completesquare 3x^2+9x are 3(x+3/2)^2-27/4