Question

(x-3)²-16=0 FORMULA DE DELTA

Answer 1

(x - 3)² - 16 = 0

x² - 6x + 9 - 16 = 0

x² - 6x - 7 = 0

===

Δ = b² − 4ac

Δ = (−6)² −4⋅(1)⋅(−7)

Δ = 36 + 28

Δ = 64

===

$x = \dfrac{-b \pm \sqrt{\Delta}}{2*a}\\ \\ \\x = \dfrac{-(-6) \pm \sqrt{64}}{2*1}\\ \\ \\x = \dfrac{6 \pm 8}{2}\\ \\ \\x' = \dfrac{6 + 8}{2}\\ \\ \\x' = \dfrac{14}{2}\\ \\ \\ x' = 7\\ \\ \\ \\x' = \dfrac{6 - 8}{2}\\ \\ \\x' = \dfrac{-2}{2}\\ \\ \\x' = -1$

S = {-1, 7}