What are the solutions to the equation completesquare x^2-5x-6 ?

The solutions to the equation completesquare x^2-5x-6 are (x-5/2)^2-49/4

Find the zeros of completesquare x^2-5x-6

The zeros of completesquare x^2-5x-6 are (x-5/2)^2-49/4

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complete the square

x^{2} - 5 x - 6

(x - \frac{5}{2})^{2} - \frac{49}{4}

Solution steps

x^{2} - 5 x - 6

Write

x^{2} - 5 x - 6

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 - 6 + (- \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} - 6 - (- \frac{5}{2})^{2}

Simplify

(x - \frac{5}{2})^{2} - \frac{49}{4}

x^{2} - 5 x - 3

13 = 5 m^{2}

36 x^{2} + 36 x = 7

x, (1 - x^{2}) y^{n} = - 2 y

4 y^{2} - 20 y = 0

What are the solutions to the equation completesquare x^2-5x-6 ?
The solutions to the equation completesquare x^2-5x-6 are (x-5/2)^2-49/4
Find the zeros of completesquare x^2-5x-6
The zeros of completesquare x^2-5x-6 are (x-5/2)^2-49/4