I hope this helps you
5x^2-44x-3=0
a=5
b= -44
c= -3
disctirminant =b^2-4ac
disctirminant =(-44)^2-4.5. (-3)
disctirminant =1996
x1,2= -b (+,-) square root of disctirminant /2a
x1= -(-44)+square root of 1996/2.5
x1~8,867
x2=-(-44)-square root of 1996/3.5
x2~ -0,67