Question

Determine as raízes da equação: (2x – 3) (x – 8) = 34.

Answer 1

2x -3 +x -8=34
3x=+11 +34
3x=45
3 x=15

;)

Answer 2

(2x – 3) (x – 8) = 34

2x^2 - 16x -3x + 24 - 34 = 0

2x^2 - 16x -3x - 10 = 0

Δ = b^2 - 4 ac

Δ = ( -19)^2 - 4 × 2 × (-10)

Δ = 441

x = – b ± √Δ

     2·a

x = - (-19) + √441

      2·2

x' = 19 + 21

       4

raiz x' = 10

x = - (-19) - √441

      2·2

x" = 19 - 21

       4

raiz x" = -0,5