Learn how to solve equations problems step by step online. Solve x^2-5x+6=0 using the quadratic formula. Math interpretation of the question. Find the roots of the equation using the Quadratic Formula. 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=-5 and c=6. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplifying.

Solve x^2-5x+6=0 using the quadratic formula