What are the solutions to the equation completesquare x^2+5x-1 ?

The solutions to the equation completesquare x^2+5x-1 are (x+5/2)^2-29/4

Find the zeros of completesquare x^2+5x-1

The zeros of completesquare x^2+5x-1 are (x+5/2)^2-29/4

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complete the square

x^{2} + 5 x - 1

(x + \frac{5}{2})^{2} - \frac{29}{4}

Solution steps

x^{2} + 5 x - 1

Write

x^{2} + 5 x - 1

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 - 1 + (\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} - 1 - (\frac{5}{2})^{2}

Simplify

(x + \frac{5}{2})^{2} - \frac{29}{4}

x^{2} + 5 x - 3

3 x - 7 + x (x - 3) = 2 x + 8

3 x^{2} + 14 x + 16 = 0

4 y = 7 y^{2} - 3

3^{2} + 1^{2} = x^{2}

What are the solutions to the equation completesquare x^2+5x-1 ?
The solutions to the equation completesquare x^2+5x-1 are (x+5/2)^2-29/4
Find the zeros of completesquare x^2+5x-1
The zeros of completesquare x^2+5x-1 are (x+5/2)^2-29/4