What are the solutions to the equation completesquare s^2-2s+5 ?

The solutions to the equation completesquare s^2-2s+5 are (s-1)^2+4

Find the zeros of completesquare s^2-2s+5

The zeros of completesquare s^2-2s+5 are (s-1)^2+4

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complete the square

s^{2} - 2 s + 5

(s - 1)^{2} + 4

Solution steps

s^{2} - 2 s + 5

Write

s^{2} - 2 s + 5

in the form:

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

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

s^{2} - 2 s + 5 + (- 1)^{2} - (- 1)^{2}

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

s^{2} - 2 s + (- 1)^{2} = (s - 1)^{2}

(s - 1)^{2} + 5 - (- 1)^{2}

Simplify

(s - 1)^{2} + 4

2 x^{2} + 92 = - 4 x

5 x - x^{2} = x

7 = - x^{2} - 4 x

6^{2} + 6^{2} = x^{2}

2 x^{2} - 36 x + 64 = 0

What are the solutions to the equation completesquare s^2-2s+5 ?
The solutions to the equation completesquare s^2-2s+5 are (s-1)^2+4
Find the zeros of completesquare s^2-2s+5
The zeros of completesquare s^2-2s+5 are (s-1)^2+4