Root(s) of Equation: Fundamentals

Find the number of real root (s) of the equation ae ^(x) =1+ x + (x ^(2))/(2), where a is positive constant.

The number of real root (s) of the equation x^2 tanx=1 lying between 0 and 2pi is /are.

What is Polynomial equation; Roots of an equation & Solution set of an equation ?

If r and s are the roots of the equation ax^2+ bx + c= 0 , then the value of 1/r^2+1/s^2=

One root of a quadratic equation is 2 and the sum of the roots is 0. then the equation is:

If alpha,beta equations are the roots of x^(2)+px+q=0, then Make the equation whose roots have the roots of the given equation Less than h

Two closed pipe produce 10 beats s^(-1) when emitting their fundamental nodes. If their lengths are in ratio of 25 : 26 their fundamental frequency (in Hz), are