What are the solutions to the equation completesquare x^2-8x+16 ?

The solutions to the equation completesquare x^2-8x+16 are (x-4)^2

Find the zeros of completesquare x^2-8x+16

The zeros of completesquare x^2-8x+16 are (x-4)^2

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complete the square

x^{2} - 8 x + 16

(x - 4)^{2}

Solution steps

x^{2} - 8 x + 16

Write

x^{2} - 8 x + 16

in the form:

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

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

x^{2} - 8 x + 16 + (- 4)^{2} - (- 4)^{2}

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

x^{2} - 8 x + (- 4)^{2} = (x - 4)^{2}

(x - 4)^{2} + 16 - (- 4)^{2}

Simplify

(x - 4)^{2}

x^{2} - 8 x + 52

- 3 = - 48703 x^{2} + 20017 x - 21243

(3 x - 1) (3 x + 1) = 0

- 3 x^{2} + 24 x - 46

h^{2} + 9 h = 0

What are the solutions to the equation completesquare x^2-8x+16 ?
The solutions to the equation completesquare x^2-8x+16 are (x-4)^2
Find the zeros of completesquare x^2-8x+16
The zeros of completesquare x^2-8x+16 are (x-4)^2