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

The solutions to the equation completesquare x^2+5x+2 are (x+5/2)^2-17/4

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

The zeros of completesquare x^2+5x+2 are (x+5/2)^2-17/4

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complete the square

x^{2} + 5 x + 2

(x + \frac{5}{2})^{2} - \frac{17}{4}

Solution steps

x^{2} + 5 x + 2

Write

x^{2} + 5 x + 2

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

Simplify

(x + \frac{5}{2})^{2} - \frac{17}{4}

x, 7 x^{2} - 112 x + 2 y^{2} + 448 = 0

18 x^{2} - 9 x = 0

(x - 5)^{2} = - 1

6 x^{2} + 14 x + 4 = 0

x^{2} + 14 x = - 32

What are the solutions to the equation completesquare x^2+5x+2 ?
The solutions to the equation completesquare x^2+5x+2 are (x+5/2)^2-17/4
Find the zeros of completesquare x^2+5x+2
The zeros of completesquare x^2+5x+2 are (x+5/2)^2-17/4