Find the number of solutions of the equation `sinx=x^2+x+1.`

Consider the equation 2/x+5/y=1/3w h e r ex ,y in Ndot Find the number of solutions of the equation.

Find the number of solutions of equation (2x-3)2^x=1

If m and n(n > m) are positive integers, then find the number of solutions of the equation n|sinx|=m|cosx|' for x in [0,2pi]dot Also find the solution.

Find the number of solutions of the equation 3tanx+x^3=2in(0,pi/4)

Find the number of solution of the equation 1+e^(cot^2 x )=sqrt(2|sinx|-1)+(1-cos2x)/(1+sin^4x) for x in (0,5pi)dot

Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0

Find the number of solution of the equation cot^(2) (sin x+3)=1 in [0, 3pi] .

Find the number of solution to the equation x^(2)tanx=1,x in [0,2pi].

Find the number of solution of the equation 2x=3pi (1-cos x) .