What are the solutions to the equation completesquare x^2-8x+25 ?

The solutions to the equation completesquare x^2-8x+25 are (x-4)^2+9

Find the zeros of completesquare x^2-8x+25

The zeros of completesquare x^2-8x+25 are (x-4)^2+9

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complete the square

x^{2} - 8 x + 25

(x - 4)^{2} + 9

Solution steps

x^{2} - 8 x + 25

Write

x^{2} - 8 x + 25

in the form:

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

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

x^{2} - 8 x + 25 + (- 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} + 25 - (- 4)^{2}

Simplify

(x - 4)^{2} + 9

x^{2} - 8 x + 16

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

What are the solutions to the equation completesquare x^2-8x+25 ?
The solutions to the equation completesquare x^2-8x+25 are (x-4)^2+9
Find the zeros of completesquare x^2-8x+25
The zeros of completesquare x^2-8x+25 are (x-4)^2+9