What are the solutions to the equation completesquare 19-4x+x^2 ?

The solutions to the equation completesquare 19-4x+x^2 are (x-2)^2+15

Find the zeros of completesquare 19-4x+x^2

The zeros of completesquare 19-4x+x^2 are (x-2)^2+15

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complete the square

19 - 4 x + x^{2}

(x - 2)^{2} + 15

Solution steps

19 - 4 x + x^{2}

Write in the standard form

a x^{2} + b x + c

x^{2} - 4 x + 19

Write

x^{2} - 4 x + 19

in the form:

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

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

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

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

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

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

Simplify

(x - 2)^{2} + 15

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

4 n^{2} + 7 n + 1 = 0

x^{2} + 20 x + 51 = 0

x^{2} - x = 4 x

3 x^{2} - 8 x + 1 = - 2

What are the solutions to the equation completesquare 19-4x+x^2 ?
The solutions to the equation completesquare 19-4x+x^2 are (x-2)^2+15
Find the zeros of completesquare 19-4x+x^2
The zeros of completesquare 19-4x+x^2 are (x-2)^2+15