Question 1695
In order to solve this, you have to start with the first step. I'll show you:
-10x^2+11x+24= 20     G
-10x^2+11x+44= 0      I,S
{{{x=(-b+-sqrt(b^2-4*a*c))/(2*a)}}}   QF
{{{x=(-11+-sqrt(121+1760))/(-20)}}} Sub,S
{{{x=(-11+-sqrt(1881))/(-20)}}}     S
Now do some thinking. Is 1881 a perfect? If it isn't, you do this:
{{{x=(-11+-43 32/87))/(-20)}}}   S
{{{x=(-53 32/87))/(-20)}}}       S, (answer #1)
{{{x=32 32/87))/(-20)}}}         S, (answer #2)
In the two answers, M.A.D. them. It means to multiply, add, and divide. Or you could do it this way which leaves it at a radical:
{{{x=-11+-sqrt(1881))/(-20)}}}
Now think! What times what is 1881? Well 9*209=1881, so 9 is a perfect leaving 209 in the sqrt.
{{{x=-11+-9sqrt(209))/(-20)}}}
And that is your radical answer.