What are the solutions to the equation completesquare x^2-6x+7 ?

The solutions to the equation completesquare x^2-6x+7 are (x-3)^2-2

Find the zeros of completesquare x^2-6x+7

The zeros of completesquare x^2-6x+7 are (x-3)^2-2

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complete the square

x^{2} - 6 x + 7

(x - 3)^{2} - 2

Solution steps

x^{2} - 6 x + 7

Write

x^{2} - 6 x + 7

in the form:

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

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

x^{2} - 6 x + 7 + (- 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} + 7 - (- 3)^{2}

Simplify

(x - 3)^{2} - 2

3 x^{2} + 16 x + 17 = 0

0 = - 5 x^{2} + 8 x - 7

(x) = 2600 + 2 x + 0.001 x^{2}

- 0.05 q^{2} + 700 = 10 q + 220

- 3 x^{2} + 363 = 0

What are the solutions to the equation completesquare x^2-6x+7 ?
The solutions to the equation completesquare x^2-6x+7 are (x-3)^2-2
Find the zeros of completesquare x^2-6x+7
The zeros of completesquare x^2-6x+7 are (x-3)^2-2