Learn how to solve equations problems step by step online. Solve the rational equation (x^2)/(x+100)=50. Multiply both sides of the equation by x+100. Solve the product 50\left(x+100\right). Move everything to the left hand side of the equation. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-50 and c=-5000. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

Solve the rational equation (x^2)/(x+100)=50