What are the solutions to the equation completesquare x^2+5x+9/4 ?

The solutions to the equation completesquare x^2+5x+9/4 are (x+5/2)^2-4

Find the zeros of completesquare x^2+5x+9/4

The zeros of completesquare x^2+5x+9/4 are (x+5/2)^2-4

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complete the square

x^{2} + 5 x + \frac{9}{4}

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

Solution steps

x^{2} + 5 x + \frac{9}{4}

Write

x^{2} + 5 x + \frac{9}{4}

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{9}{4} + (\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{9}{4} - (\frac{5}{2})^{2}

Simplify

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

5 y^{2} + 7 y - 1 = 0

x, x^{2} + y^{2} + z^{2} = 16

2 x^{2} - 3 x - 15 = - 4 x

9 x = - x^{2} - 18

2 c^{2} - 10 c + 12 = 0

What are the solutions to the equation completesquare x^2+5x+9/4 ?
The solutions to the equation completesquare x^2+5x+9/4 are (x+5/2)^2-4
Find the zeros of completesquare x^2+5x+9/4
The zeros of completesquare x^2+5x+9/4 are (x+5/2)^2-4