x2 - 15x + 56 = 0. Compare the solution of the given quadratic equation f(x) = x2 - 15x + 56.

Question

x² - 15x + 56 = 0. Compare the solution of the given quadratic equation with the zeros and the x-intercepts of the function f(x) = x² - 15x + 56.

Answer 1

The solution of the quadratic gives the zeroes of f(x)=(x-7)(x-8). 7 or 8 are the solutions of the quadratic, 7 and 8 are the zeroes of f(x) and the x intercepts of the graph of f(x) where y=f(x).