What are the solutions to the equation completesquare x^2-4x+7 ?

The solutions to the equation completesquare x^2-4x+7 are (x-2)^2+3

Find the zeros of completesquare x^2-4x+7

The zeros of completesquare x^2-4x+7 are (x-2)^2+3

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complete the square

x^{2} - 4 x + 7

(x - 2)^{2} + 3

Solution steps

x^{2} - 4 x + 7

Write

x^{2} - 4 x + 7

in the form:

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

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

x^{2} - 4 x + 7 + (- 2)^{2} - (- 2)^{2}

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

x^{2} - 4 x + (- 2)^{2} = (x - 2)^{2}

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

Simplify

(x - 2)^{2} + 3

36 x^{2} - 18 x = 0

5 b^{2} = - 12 b

A = s^{2}

16 x^{2} + 1 = 0

x^{2} - 9 x = 15.75

What are the solutions to the equation completesquare x^2-4x+7 ?
The solutions to the equation completesquare x^2-4x+7 are (x-2)^2+3
Find the zeros of completesquare x^2-4x+7
The zeros of completesquare x^2-4x+7 are (x-2)^2+3