Question 114347
{{{5x^2+5x+1= 0}}}


All you need to do is plug the coefficients into the quadratic formula and then do the arithmetic.


*[invoke quadratic "x",5,5,1]


The plug in solver did the calculator math, but I would just leave the solution as:


{{{(-5+sqrt(5))/10}}} and {{{(-5-sqrt(5))/10}}}


since I expect your instructor wants the exact solution in this case.


I'll leave it as an exercise for you to plug each of these values for x back into the original equation to check them.


Hope this helps.

John