i need an 8085 ALP to find the roots of a quadratic equation and to find exponent of a number(upto 10^10) pls help.

Roots of a quadratic can be found with the equation (-b +/- sqrt(b^2-4ac))/2a where a,b and c are the constants in ax^2+bx+c=0. sqrt() functions may barf on negative numbers (or incorrectly/misleadingly ignore the sign) so check b^2 >= 4ac; if it isn't then the roots are imaginary, e.g. x^2+1=0 has no real solution; the solutions are +i and -i.