Respuestas
Respuesta:
(x+2) (x-8)=11
Hacemos los parentesis
(x+2) (x-8) = x² - 6x - 16
x² - 6x - 16 = 11
x² - 6x - 16 - 11 = 0
Operamos los numeros enteros
x² - 6x - 27 = 0
ax² + bx + c = 0
a = 1
b = -6
c = -27
Aplicamos la formula general
-b+-√b² - 4ac
x = ----------------------
2a
-(-6)+-√(-6)² - 4 · (1) · (-27) +6+-√36 + 108 +6+-√144
x = ----------------------------------- = ----------------------- = ----------------- =
2 · (1) 2 2
+6+-12 +6+12 18
= -------------- = ---------- = -------- = 9
2 2 2
+6 - 12 -6
= --------------- = ------------- = -3
2 2
x = 9
x = -3