What are the solutions to the equation completesquare x^2-8x+19 ?

The solutions to the equation completesquare x^2-8x+19 are (x-4)^2+3

Find the zeros of completesquare x^2-8x+19

The zeros of completesquare x^2-8x+19 are (x-4)^2+3

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complete the square

x^{2} - 8 x + 19

(x - 4)^{2} + 3

Solution steps

x^{2} - 8 x + 19

Write

x^{2} - 8 x + 19

in the form:

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

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

x^{2} - 8 x + 19 + (- 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} + 19 - (- 4)^{2}

Simplify

(x - 4)^{2} + 3

x, (x - C^{1})^{2} + y^{2} = C^{2}

x^{2} + 3 x^{2} - 4 x - 12 = 0

- 2 = x^{2} + 2 x

v, F = \frac{z M v ^{2}}{r}

k^{2} - 14 k - 28 = 0

What are the solutions to the equation completesquare x^2-8x+19 ?
The solutions to the equation completesquare x^2-8x+19 are (x-4)^2+3
Find the zeros of completesquare x^2-8x+19
The zeros of completesquare x^2-8x+19 are (x-4)^2+3