How many solutions does the equation e^(-x^2)=x have?

Answer 1

It should have one solution = .652919

if e^-x2 = x, then -x²ln(e) = ln(x) or -x² = ln(x) or x² + ln(x) = 0

Looking at the graph and seeing that it crosses the x axis only once, the result is given using methods such as Newton's method.