Question

resolva essas equações na forma geral (2x-3).(x-8)=34

Answer 1

(2x - 3) . (x - 8) = 34
2x² -16x -3x + 24 = 34
2x² -19x -10 = 0

Δ = b² - 4.a.c
Δ = (-19)² - 4. 2.(-10)
Δ = 361 + 80
Δ = 441

x' = (- b + √Δ)/ 2.a
x' = [-(-19)+√441]/ 2.2
x' = 10

x" = (-b-√Δ)/ 2.a
x" = [-(-19)-√441]/ 2.2
x" = -2/4

Answer 2

Boa noite Joyce

(2x - 3)*(x - 8) = 34

2x² - 16x - 3x + 24 - 34 = 0

2x² - 19x - 10 = 0 

delta
d² = 19² + 4*2*10 = 361 + 80 = 441
d = 21

x1 = (19 + 21)/4 = 10
x2 = (19 - 21)/4 = -1/2