Let f(x) = 6x² - 54x+100 and g(x)=-3x² + 19. Identify the solution(s) of f(x) = g(x).

Answer:
x = 3
Step-by-step explanation:
f(x) = g(x)
[tex]6x^{2} - 54x + 100 = -3x^{2} + 19\\9x^{2} - 54x + 81 = 9(x^{2} - 6x + 9) = 0[/tex]
9(x - 3)(x - 3) = 0
x = 3