What are the solutions to the equation completesquare x^2-6x+10 ?

The solutions to the equation completesquare x^2-6x+10 are (x-3)^2+1

Find the zeros of completesquare x^2-6x+10

The zeros of completesquare x^2-6x+10 are (x-3)^2+1

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complete the square

x^{2} - 6 x + 10

(x - 3)^{2} + 1

Solution steps

x^{2} - 6 x + 10

Write

x^{2} - 6 x + 10

in the form:

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

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

x^{2} - 6 x + 10 + (- 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} + 10 - (- 3)^{2}

Simplify

(x - 3)^{2} + 1

2 - x^{2} = - 11

(x - 3) (x + 5) = 0

x^{2} - 4 x = 7

x^{2} - 14 x

x, x^{2} - 4 y^{2} - 2 x + 1 = 0

What are the solutions to the equation completesquare x^2-6x+10 ?
The solutions to the equation completesquare x^2-6x+10 are (x-3)^2+1
Find the zeros of completesquare x^2-6x+10
The zeros of completesquare x^2-6x+10 are (x-3)^2+1