What are the solutions to the equation completesquare s^2-4s+20 ?

The solutions to the equation completesquare s^2-4s+20 are (s-2)^2+16

Find the zeros of completesquare s^2-4s+20

The zeros of completesquare s^2-4s+20 are (s-2)^2+16

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complete the square

s^{2} - 4 s + 20

(s - 2)^{2} + 16

Solution steps

s^{2} - 4 s + 20

Write

s^{2} - 4 s + 20

in the form:

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

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

s^{2} - 4 s + 20 + (- 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} + 20 - (- 2)^{2}

Simplify

(s - 2)^{2} + 16

6 x^{2} = 10 x - 1

x^{2} + 14 x + 49 = 9

w^{2} = 100

4 x^{2} = - 8 x

- x^{2} - 9 = 6 x

What are the solutions to the equation completesquare s^2-4s+20 ?
The solutions to the equation completesquare s^2-4s+20 are (s-2)^2+16
Find the zeros of completesquare s^2-4s+20
The zeros of completesquare s^2-4s+20 are (s-2)^2+16