Thread: Solving a quadratic equation with exponential term..

I am a student of Dhaka University, faculty of engineering and technology. I have a problem for solving a quadratic equation since it contain square root term, exponential term. Equation is,

b * x + sqrt( c^2 - x^2 ) + d * x^2 * exp(-k*x) - c * exp(-k*x) = a;

If it is possible to solve this equation to find the value of x in terms of a, b, c, d, k please help me.

Originally Posted by siddiqueforum

I am a student of Dhaka University, faculty of engineering and technology. I have a problem for solving a quadratic equation since it contain square root term, exponential term. Equation is,

b * x + sqrt( c^2 - x^2 ) + d * x^2 * exp(-k*x) - c * exp(-k*x) = a;

If it is possible to solve this equation to find the value of x in terms of a, b, c, d, k please help me.

This is not a quadratic. It only would be if the coefficients of x^2, x and the constant term were all constants.

I seriously doubt you would be able to get an exact solution for x in terms of a, b, c, d.

Originally Posted by siddiqueforum

b * x + sqrt( c^2 - x^2 ) + d * x^2 * exp(-k*x) - c * exp(-k*x) = a

Are you serious?! That's uglier than the 3 witches of MacBeth combined!
Can't be solved...even by WolramAlpha.
The problem is mainly the variable x inside the sqrt(); are you sure that's correct?