Question

determine a soma das raizes x+6=25x²-4

Answer 1

x + 6 = 25x² - 4
0 = 25x² - x - 4 - 6
0 = 25x² - x - 10
25x² - x - 10 = 0
a = 25; b = - 1; c = - 10
Δ = b² - 4ac
Δ = (-1)² - 4.25.(-10)
Δ = 1 + 1000
Δ = 1001

x = - b +/- √Δ    = - (-1) +/- √1001
      ---------------    ---------------------
            2a                    2.25

x' = 1 + √1001
      ---------------
            50

x" = 1 - √1001
      ---------------
            50