Find the quadratic equation whose roots are x = -2 or x = 7

Answer Details

If the roots of a quadratic equation are given, we can express the quadratic equation in factored form. For the given problem, the roots are x = -2 or x = 7. This means that the factors of the quadratic equation are (x + 2) and (x - 7). Multiplying these factors, we get: (x + 2)(x - 7) = x^{2} - 5x - 14 = 0 Therefore, the quadratic equation whose roots are x = -2 or x = 7 is x^{2} - 5x - 14 = 0.