What are the solutions to the equation completesquare x^2-8x+52 ?

The solutions to the equation completesquare x^2-8x+52 are (x-4)^2+36

Find the zeros of completesquare x^2-8x+52

The zeros of completesquare x^2-8x+52 are (x-4)^2+36

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complete the square

x^{2} - 8 x + 52

(x - 4)^{2} + 36

Solution steps

x^{2} - 8 x + 52

Write

x^{2} - 8 x + 52

in the form:

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

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

x^{2} - 8 x + 52 + (- 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} + 52 - (- 4)^{2}

Simplify

(x - 4)^{2} + 36

- 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

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

What are the solutions to the equation completesquare x^2-8x+52 ?
The solutions to the equation completesquare x^2-8x+52 are (x-4)^2+36
Find the zeros of completesquare x^2-8x+52
The zeros of completesquare x^2-8x+52 are (x-4)^2+36