@oxama-malik said in Solution of Non Linear Equations (Bisection Method):

respected sir, sir ma na ye pochna tha ka regula falsi method ma hum ye bhi formula use kar sakta hai. please guide kar dya. the first approximation solution x1 is given by X1=(a(f(b))-b(f(a))/f(b)-f(a)

That is right. You can use this formula.

In fact, the formula given in the handouts becomes same after you simplify it. Also $x_{n-1}$ will become $a$ and $x_{n}$ will become $b$.

So use any from the two formulas you find easier.

Best wishes