What are the solutions to the equation completesquare x^2+15x ?

The solutions to the equation completesquare x^2+15x are (x+15/2)^2-225/4

Find the zeros of completesquare x^2+15x

The zeros of completesquare x^2+15x are (x+15/2)^2-225/4

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complete the square

x^{2} + 15 x

(x + \frac{15}{2})^{2} - \frac{225}{4}

Solution steps

x^{2} + 15 x

Write

x^{2} + 15 x

in the form:

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

2 a = 15 : a = \frac{15}{2}

Add and subtract

(\frac{15}{2})^{2}

x^{2} + 15 x + (\frac{15}{2})^{2} - (\frac{15}{2})^{2}

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

x^{2} + 15 x + (\frac{15}{2})^{2} = (x + \frac{15}{2})^{2}

(x + \frac{15}{2})^{2} - (\frac{15}{2})^{2}

Simplify

(x + \frac{15}{2})^{2} - \frac{225}{4}

36 x^{2} + 12 x + 1 = 18

a, n = 4 a^{2} - m

a^{2} + 10 a + 25 = 0

- 3 x^{2} + 9 x = 0

y^{2} - y

What are the solutions to the equation completesquare x^2+15x ?
The solutions to the equation completesquare x^2+15x are (x+15/2)^2-225/4
Find the zeros of completesquare x^2+15x
The zeros of completesquare x^2+15x are (x+15/2)^2-225/4