What are the solutions to the equation completesquare s^2-6s+11 ?

The solutions to the equation completesquare s^2-6s+11 are (s-3)^2+2

Find the zeros of completesquare s^2-6s+11

The zeros of completesquare s^2-6s+11 are (s-3)^2+2

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complete the square

s^{2} - 6 s + 11

(s - 3)^{2} + 2

Solution steps

s^{2} - 6 s + 11

Write

s^{2} - 6 s + 11

in the form:

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

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

s^{2} - 6 s + 11 + (- 3)^{2} - (- 3)^{2}

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

s^{2} - 6 s + (- 3)^{2} = (s - 3)^{2}

(s - 3)^{2} + 11 - (- 3)^{2}

Simplify

(s - 3)^{2} + 2

s^{2} - 6 s + 13

x^{2} = 3 9^{2} + 16 0^{2}

- 0.3 x^{2} + 0.6 x = 22

x + 3 = 9 - x^{2}

2 x^{2} + 3 - 1 = 0

What are the solutions to the equation completesquare s^2-6s+11 ?
The solutions to the equation completesquare s^2-6s+11 are (s-3)^2+2
Find the zeros of completesquare s^2-6s+11
The zeros of completesquare s^2-6s+11 are (s-3)^2+2