What are the solutions to the equation completesquare s^2-4s+13 ?

The solutions to the equation completesquare s^2-4s+13 are (s-2)^2+9

Find the zeros of completesquare s^2-4s+13

The zeros of completesquare s^2-4s+13 are (s-2)^2+9

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complete the square

s^{2} - 4 s + 13

(s - 2)^{2} + 9

Solution steps

s^{2} - 4 s + 13

Write

s^{2} - 4 s + 13

in the form:

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

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

s^{2} - 4 s + 13 + (- 2)^{2} - (- 2)^{2}

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

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

(s - 2)^{2} + 13 - (- 2)^{2}

Simplify

(s - 2)^{2} + 9

2 x^{2} - 6 x = 6 x^{2} - 8 x

x, 2 z = x^{2} + y^{2}

4 x^{2} + 4 x + 1 = 121

\frac{1}{2} (x - 4)^{2} + 3 = 30

4 x^{2} + 12 x + 6 = 0

What are the solutions to the equation completesquare s^2-4s+13 ?
The solutions to the equation completesquare s^2-4s+13 are (s-2)^2+9
Find the zeros of completesquare s^2-4s+13
The zeros of completesquare s^2-4s+13 are (s-2)^2+9