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

The solutions to the equation completesquare x^2+5x are (x+5/2)^2-25/4

Find the zeros of completesquare x^2+5x

The zeros of completesquare x^2+5x are (x+5/2)^2-25/4

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complete the square

x^{2} + 5 x

(x + \frac{5}{2})^{2} - \frac{25}{4}

Solution steps

x^{2} + 5 x

Write

x^{2} + 5 x

in the form:

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

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

Add and subtract

(\frac{5}{2})^{2}

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

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

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

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

Simplify

(x + \frac{5}{2})^{2} - \frac{25}{4}

x, y^{3} = x^{2}

(2 x + 4)^{2} = 100

x^{2} + 8 x + 16 = 64

5 (x - 7)^{2} + 27 = 32

2 x^{2} - x + 5 = 0

What are the solutions to the equation completesquare x^2+5x ?
The solutions to the equation completesquare x^2+5x are (x+5/2)^2-25/4
Find the zeros of completesquare x^2+5x
The zeros of completesquare x^2+5x are (x+5/2)^2-25/4