Question

Raizes da equaçao x^2-169x+13

Answer 1

Δ = b2 - 4.a.c 
Δ = -1692 - 4 . 1 . 13 
Δ = 28561 - 4. 1 . 13 
Δ = 28509
Há 2 raízes reais.

x = (-b +- √Δ)/2a

x' = (--169 + √28509)/2.1   
x'' = (--169 - √28509)/2.1

x' = 337,84608375677533 / 2   
x'' = 0,1539162432246428 / 2

x' = 168,92304187838766   
x'' = 0,0769581216123214

Answer 2

x² - 169x + 13 = 0
a = 1; b = - 169, c = 13

Δ = b² - 4ac
Δ = (-169)² - 4.1.13
Δ = 28561 - 52
Δ = 28509

x = - b +/- √Δ = - ( - 169) +/- √28509
          2a                   2.1

x' = 169 + √28509
               2

x"  = 169 - √28509
               2
-----------------------------------------------
28509 : 3
9503   : 13
731    : 17
43      :43
1                = 3.13.17.43