MP Board · Class 10 · Mathematics · Quadratic EquationsDetermine whether x = 3 is a solution of the quadratic equation x² - 2x - 3 = 0.

To check whether x = 3 is a valid solution of the given quadratic equation x² - 2x - 3 = 0, we substitute the value 3 in place of every occurrence of the variable x in the left-hand side expression. Doing this gives (3)² - 2(3) - 3, which mathematically evaluates to 9 - 6 - 3. This further simplifies to 9 - 9, which equals 0. Since the left-hand side precisely equals the right-hand side, x = 3 is indeed a solution.