Do not use a calculator for this problem. Find the x-value where the relative maximum of $\displaystyle {y}={e}^{{\frac{{x}}{{7}}}}-{x}^{{2}}$ closest to $\displaystyle {x}={0}$ occurs. When you need to solve for an expression equal to zero, use Newton's method with $\displaystyle {x}={0}$ as your first guess and enter your second guess as the answer. Enter your answer as a fraction.