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)^2-33/4

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

The zeros of completesquare x^2+5x-2 are (x+5/2)^2-33/4

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complete the square

x^{2} + 5 x - 2

(x + \frac{5}{2})^{2} - \frac{33}{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{33}{4}

x, x^{2} + 2 q x + 2 q + 8 = 0

x^{2} - 2 x + 36 = 0

4 x^{2} = 4 x - 1

(2 x + 3) (x - 4) + (2 x + 3) (x - 6) = 0

6 x^{2} - 29 x = 0

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)^2-33/4
Find the zeros of completesquare x^2+5x-2
The zeros of completesquare x^2+5x-2 are (x+5/2)^2-33/4