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

The solutions to the equation completesquare x^2-6x-5 are (x-3)^2-14

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

The zeros of completesquare x^2-6x-5 are (x-3)^2-14

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complete the square

x^{2} - 6 x - 5

(x - 3)^{2} - 14

Solution steps

x^{2} - 6 x - 5

Write

x^{2} - 6 x - 5

in the form:

x^{2} + 2 a x + a^{2}

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

x^{2} - 6 x - 5 + (- 3)^{2} - (- 3)^{2}

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} - 6 x + (- 3)^{2} = (x - 3)^{2}

(x - 3)^{2} - 5 - (- 3)^{2}

Simplify

(x - 3)^{2} - 14

- 2 y^{2} = 1 - 3 y^{2}

\frac{1}{2} \cdot 2 \cdot 5^{2} + 2 \cdot 9.8 \cdot 20 = \frac{1}{2} \cdot x^{2}

3 x = x^{2} + 5

(x - 5) (x + 4) = 3 x + 57

1 = y^{2}

What are the solutions to the equation completesquare x^2-6x-5 ?
The solutions to the equation completesquare x^2-6x-5 are (x-3)^2-14
Find the zeros of completesquare x^2-6x-5
The zeros of completesquare x^2-6x-5 are (x-3)^2-14