Question

Como resolver x²+11x=16x-6?

Answer 1

x² + 11x - 16x + 6 = 0
x² - 5x +6 = 0
a = 1
b = -5
c = 6
Δ = b² - 4ac ⇒ Δ = - (-5)² - 4 .1 . 6 ⇒ Δ = 25 -24⇒ Δ = 1
x = - b + - √Δ /2a
x = - (-5) + - √1 /2
x = 5 +- 1/2
x' = 6/2 ⇒ x' = 3
x" = 4/2 ⇒ x" = 2

S = {3;2}