What are the solutions to the equation completesquare s^2+6s+10 ?

The solutions to the equation completesquare s^2+6s+10 are (s+3)^2+1

Find the zeros of completesquare s^2+6s+10

The zeros of completesquare s^2+6s+10 are (s+3)^2+1

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complete the square

s^{2} + 6 s + 10

(s + 3)^{2} + 1

Solution steps

s^{2} + 6 s + 10

Write

s^{2} + 6 s + 10

in the form:

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

2 a = 6 : a = 3

Add and subtract

3^{2}

s^{2} + 6 s + 10 + 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} + 10 - 3^{2}

Simplify

(s + 3)^{2} + 1

- 0.004 x^{2} + 250 = 0.0024 x^{2} + 0.04 x + 100

s^{2} + 6 s + 34

(x^{2} - 5 x + 9) \cdot lo g_{10} (2) + lo g_{10} (125) = 3

p^{2} = 2

5 x^{2} - x = 6

What are the solutions to the equation completesquare s^2+6s+10 ?
The solutions to the equation completesquare s^2+6s+10 are (s+3)^2+1
Find the zeros of completesquare s^2+6s+10
The zeros of completesquare s^2+6s+10 are (s+3)^2+1