Exercise
$-x^2+288x-1136=0$
Step-by-step Solution
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation -x^2+288x+-1136=0. We need to isolate the dependent variable x, we can do that by simultaneously subtracting 288x-1136 from both sides of the equation. Multiply both sides of the equation by -1. 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=-288 and c=1136. 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 quadratic equation -x^2+288x+-1136=0
Final answer to the exercise
$x=284,\:x=4$