1. The problem statement, all variables and given/known data Solve for positive root of equation: 10 + 3x^2 = e^x 2. Relevant equations The usual Newton-Raphson formula. 3. The attempt at a solution f(x) = 10 + 3x^2 - e^x f'(x) = 6x -e^x But then my biggest problem, how to find the initial guess? I have looked around, and i can't find a definitive answer on how to find the initial value. From what i understand, i can plot a graph and then look for an estimate. Is that the best method there is? Anyway, i plotted a graph and i have no idea how to interpret it, as the two curves don't touch on my graph paper, so i can't figure out an estimate. I get a curve with minimum 3x^2 + 10 and the graph of e^x. Is that correct?