Question

Me ajudem (x-4)²+15-x/3 = 27

Answer 1

mmc de 3 = 3

3(x² - 8x + 16) + 15 - x = 3.27
3 3

3x² - 24x + 48 + 15 - x = 81
3x² - 24x + 63 - x = 81
3x² - 25x + 63 - 81 = 0
3x² - 25x - 18 = 0

a = 3; b = - 25; c = - 18

Δ = b² - 4ac
Δ = (-25)² - 4.3.(-18)
Δ = 625 - 12. (-18)
Δ = 625 + 216
Δ = 841

x = - b +/- √Δ = - ( - 25) +/- √841
2a 2.3

x = 25 + 29 = 54 = 9
6 6

x = 25 - 29 = - 4 (:2) = - 2
6 6 (:2) 3

R.: x = 9 e x = - 2/3