Question

Решите: $frac{5}{x-2}+1= frac{14}{x^2-4x+4}$

Answer 1

5/(x-2) +1=14/(x-2)²
5(x-2)+(x-2)²=14,x≠2
5x-10+x²-4x+4-14=0
x²+x-20=0
x1+x2=-1 U x1*x2=-20
x1=-5 U x2=4