What are the solutions to the equation completesquare x^2-6x-4 ?

The solutions to the equation completesquare x^2-6x-4 are (x-3)^2-13

Find the zeros of completesquare x^2-6x-4

The zeros of completesquare x^2-6x-4 are (x-3)^2-13

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complete the square

x^{2} - 6 x - 4

(x - 3)^{2} - 13

Solution steps

x^{2} - 6 x - 4

Write

x^{2} - 6 x - 4

in the form:

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

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

x^{2} - 6 x - 4 + (- 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} - 4 - (- 3)^{2}

Simplify

(x - 3)^{2} - 13

x^{2} + x - 6 = - 4

x^{2} + 7 x + 3 = 33

9 x^{2} + 6 x = - 15

3 (z + 11)^{2} - 10 = 110

3 b^{2} - 7 b - 10 = 0

What are the solutions to the equation completesquare x^2-6x-4 ?
The solutions to the equation completesquare x^2-6x-4 are (x-3)^2-13
Find the zeros of completesquare x^2-6x-4
The zeros of completesquare x^2-6x-4 are (x-3)^2-13