# Question:Solving multiple equations for one variable

## Question:Solving multiple equations for one variable

Maple

den1 := (1/2)*((2+x^2)*sqrt(4+x^2)+2*sqrt(4+x^2)*cos(t*sqrt(4+x^2)*tau/`&hbar;`)+sqrt(4+x^2)*(cos(t*x*tau/`&hbar;`))(2+(2+x^2)*cos(t*sqrt(4+x^2)*tau/`&hbar;`))+x*(4+x^2)*sin(t*x*tau/`&hbar;`)*sin(t*sqrt(4+x^2)*tau/`&hbar;`))/(4+x^2)^(3/2)

den2 := 4*cos((1/2)*t*x*tau/`&hbar;`)^2*sin((1/2)*t*sqrt(4+x^2)*tau/`&hbar;`)^2/(4+x^2);

den3 := 4*sin((1/2)*t*x*tau/`&hbar;`)^2*sin((1/2)*t*sqrt(4+x^2)*tau/`&hbar;`)^2/(4+x^2);

den4 := (1/2)*((2+x^2)*sqrt(4+x^2)+2*sqrt(4+x^2)*cos(t*sqrt(4+x^2)*tau/`&hbar;`)-sqrt(4+x^2)*(cos(t*x*tau/`&hbar;`))(2+(2+x^2)*cos(t*sqrt(4+x^2)*tau/`&hbar;`))-x*(4+x^2)*sin(t*x*tau/`&hbar;`)*sin(t*sqrt(4+x^2)*tau/`&hbar;`))/(4+x^2)^(3/2);

After definining these equations, I wish to do the following:

solve({den1 = 0, den2 = 0, den3 = 0, den4 = 1}, x)

But I get the following prompt:

Warning, solutions may have been lost

I'm only looking REAL values of x and t - also, what do I do to make the command solve for values of t as well?

I've already done this with Mathematica but I don't know how to find all possible solutions.

Can anyone help me?

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