Question

Rozwiaz rownanie: b)x^2+2x-15/x+5=2/3

Answer 1

( x^2 + 2x - 15) / (x + 5) = 2/3  ;  x  musi byc różne od  ( - 5)

3*(x^2 + 2x - 15) = 2*( x + 5)

 3 x^2 + 6 x - 45 = 2x + 10

3 x^2 + 4x - 55 = 0

delta = 4^2 - 4*3*( -55) = 16 + 660 = 676

p( delty) = 26

x = ( - 4 - 26)/6 = - 30/6 = - 5    lub  x = ( - 4 + 26)/6 = 22/6 = 3  2/3

--------------------------------------------------------------------------------------

Odp.  x = 3  2/3

=============

 

Answer 2