Solve (x^2) + 10x + 6 = 0
x^2 + 10x + 6 = 0. Completing the square gives (x+10/2^)2−(10/2)^2+6=0.
This simplifies to (x + 5)^2 - 52 + 6 = 0.
(x + 5)^2 - 25 + 6 = 0.
(x + 5)^2 - 19 = 0.
To solve, add 19 to each side giving (x + 5)^2 = 19.
Square root each side, giving x+5=± suq(19)
To find x, subtract 5 from each side, giving the final answer of
x=−5± suq (19)