Question

find the solution for 2x^2+11x+5=0

Answer 1

First, Factor the terms.

\(\Large \color{midnightblue}{\rightarrow 2x^2 + 10x + x + 5 = 0 }\)
\(\Large \color{midnightblue}{\rightarrow 2x(x + 5) + 1(x + 5) = 0 }\)
\(\Large \color{midnightblue}{\rightarrow (2x + 1)(x + 5) = 0 }\)

Either 2x + 1 = 0 or x + 5 = 0

2x = -1
x = -1/2

OR

x + 5 = 0
x = -5

Answer 2

http://www.purplemath.com/modules/quadform.htm