What are the solutions to the equation completesquare 5x^2+3x ?

The solutions to the equation completesquare 5x^2+3x are 5(x+3/10)^2-9/20

Find the zeros of completesquare 5x^2+3x

The zeros of completesquare 5x^2+3x are 5(x+3/10)^2-9/20

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complete the square

5 x^{2} + 3 x

5 (x + \frac{3}{10})^{2} - \frac{9}{20}

Solution steps

5 x^{2} + 3 x

Write

5 x^{2} + 3 x

in the form:

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

Factor out

5

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

2 a = \frac{3}{5} : a = \frac{3}{10}

Add and subtract

(\frac{3}{10})^{2}

5 (x^{2} + \frac{3 x}{5} + (\frac{3}{10})^{2} - (\frac{3}{10})^{2})

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

x^{2} + \frac{3}{5} x + (\frac{3}{10})^{2} = (x + \frac{3}{10})^{2}

5 ((x + \frac{3}{10})^{2} - (\frac{3}{10})^{2})

Simplify

5 (x + \frac{3}{10})^{2} - \frac{9}{20}

8 x^{2} = 81

3 y^{2} = - 16 y

(x + 3)^{2} = 121

10 x^{2} = - 20 x + 80

0.5 x^{2} + 2.1 x = 0.3

What are the solutions to the equation completesquare 5x^2+3x ?
The solutions to the equation completesquare 5x^2+3x are 5(x+3/10)^2-9/20
Find the zeros of completesquare 5x^2+3x
The zeros of completesquare 5x^2+3x are 5(x+3/10)^2-9/20