What are the solutions to the equation completesquare x^2-6x-3 ?

The solutions to the equation completesquare x^2-6x-3 are (x-3)^2-12

Find the zeros of completesquare x^2-6x-3

The zeros of completesquare x^2-6x-3 are (x-3)^2-12

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complete the square

x^{2} - 6 x - 3

(x - 3)^{2} - 12

Solution steps

x^{2} - 6 x - 3

Write

x^{2} - 6 x - 3

in the form:

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

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

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

Simplify

(x - 3)^{2} - 12

x^{2} - 6 x + 2

2^{2} + 6^{2} = c^{2}

10 x^{2} - 23 x + 12 = 0

4 x^{2} - 16 x - 33

6 (x^{2} - 1) = - 5 x

What are the solutions to the equation completesquare x^2-6x-3 ?
The solutions to the equation completesquare x^2-6x-3 are (x-3)^2-12
Find the zeros of completesquare x^2-6x-3
The zeros of completesquare x^2-6x-3 are (x-3)^2-12