Solve the quadratic by completing the square.

X^2-20x+34=0

By discriminant formula,
b^2-4ac=
(-20)^2-(4*1*34)=
400-136=264

Next, x=(-b+(or minus)root of discriminant)/2a
x=(-(-20)+root of 264)/2*1
and
x=(-(-20)-root of 264)/2*1

x1=(20+2*root of 66(simplify))/2=10+root of 66

x2= (20-2*root of 66(simplify))/2=10-root of 66

Ithink the answer is: it is likely.