What are the solutions to the equation completesquare s^2+6s+34 ?

The solutions to the equation completesquare s^2+6s+34 are (s+3)^2+25

Find the zeros of completesquare s^2+6s+34

The zeros of completesquare s^2+6s+34 are (s+3)^2+25

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complete the square

s^{2} + 6 s + 34

(s + 3)^{2} + 25

Solution steps

s^{2} + 6 s + 34

Write

s^{2} + 6 s + 34

in the form:

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

2 a = 6 : a = 3

Add and subtract

3^{2}

s^{2} + 6 s + 34 + 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} + 34 - 3^{2}

Simplify

(s + 3)^{2} + 25

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

p^{2} = 2

5 x^{2} - x = 6

\frac{3}{5} m^{2} = 3

x^{2} - 5 x - 16 = 0

What are the solutions to the equation completesquare s^2+6s+34 ?
The solutions to the equation completesquare s^2+6s+34 are (s+3)^2+25
Find the zeros of completesquare s^2+6s+34
The zeros of completesquare s^2+6s+34 are (s+3)^2+25