Question

cual es la formula de 2x²-9x+4=0

Answer 1

Fórmula de Bhaskara

2x² - 9x + 4 = 0

x = 9 + - √81 - 32
     -------------------
              4

x = 9 + - √49
     ---------------
             4

x' = 9 + 7
      --------
         4

x' = 4

x" = 9 - 7
      --------
          4

x" = 1/2             S = ( 4 ; 1/2 )

Answer 2

2x² - 9x + 4 = 0

a = 2
b = -9
c = 4

Δ = b² -4 .a . c
Δ = (-9)² -4 . 2 . 4
Δ = 81 - 8 . 4
Δ = 81 - 32
Δ = 49

$\mathtt{\dfrac{-b +- \sqrt{\Delta}}{2~~.~~a} ~~=~~ \dfrac{-(-9)+-\sqrt{49}}{2~~.~~2} ~~=~~ \dfrac{9 +-~7}{4}} \\ \\ \\ \mathtt{x' = \dfrac{9 +7}{4} ~~=~~\dfrac{16}{4}~~=~~ \boxed{4}} \\ \\ \\ \mathtt{x" = \dfrac{9 -7}{4}~~~=~~\dfrac{2}{4}~~(\div2)~~=~~\boxed{\dfrac{1}{2}}} \\ \\ \\ \boxed{\boxed{\mathtt{Resposta: (\dfrac{1}{2}~~e~~4)}}}$