What are the solutions to the equation completesquare x^2-6x+16 ?

The solutions to the equation completesquare x^2-6x+16 are (x-3)^2+7

Find the zeros of completesquare x^2-6x+16

The zeros of completesquare x^2-6x+16 are (x-3)^2+7

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complete the square

x^{2} - 6 x + 16

(x - 3)^{2} + 7

Solution steps

x^{2} - 6 x + 16

Write

x^{2} - 6 x + 16

in the form:

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

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

x^{2} - 6 x + 16 + (- 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} + 16 - (- 3)^{2}

Simplify

(x - 3)^{2} + 7

x^{2} + 6 x - 3

w^{2} - 14 w + 42 = 0

a^{2} x^{2} + a (b - c) x - b c = 0

0 = 210 + 205.06 t - 4.9 t^{2}

- 60 = 2 (h + 7)^{2} + 4

What are the solutions to the equation completesquare x^2-6x+16 ?
The solutions to the equation completesquare x^2-6x+16 are (x-3)^2+7
Find the zeros of completesquare x^2-6x+16
The zeros of completesquare x^2-6x+16 are (x-3)^2+7