What are the solutions to the equation completesquare x^2-6x-11 ?

The solutions to the equation completesquare x^2-6x-11 are (x-3)^2-20

Find the zeros of completesquare x^2-6x-11

The zeros of completesquare x^2-6x-11 are (x-3)^2-20

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complete the square

x^{2} - 6 x - 11

(x - 3)^{2} - 20

Solution steps

x^{2} - 6 x - 11

Write

x^{2} - 6 x - 11

in the form:

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

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

x^{2} - 6 x - 11 + (- 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} - 11 - (- 3)^{2}

Simplify

(x - 3)^{2} - 20

x^{2} - 6 x - 16

- 0.002 x^{2} + 0.37 x = 8

x, 4 x^{2} + 6 x y - 3 y + 4 = 0

x, y = 1 - x^{2}

x^{2} + 6 x + 1 = 0

What are the solutions to the equation completesquare x^2-6x-11 ?
The solutions to the equation completesquare x^2-6x-11 are (x-3)^2-20
Find the zeros of completesquare x^2-6x-11
The zeros of completesquare x^2-6x-11 are (x-3)^2-20