Question

Sall vreau si eu sa ma ajutati ... puteti rezolva exercitiu asta si sa aflati numerele A,B,C,D???

Answer 1

[tex]a+ \frac{1}{b+ \frac{1}{c+ \frac{1}{d} } } = \frac{43}{30} aducem la acelasi numitor abcd + ab + ad + cd + 1 =43 bcd + b + d = 30 [/tex]

a(bcd+b+d) + cd + 1 =43
bcd+b+d=30

30a + cd + 1 = 43
30a + cd = 42

b(cd+1) + d = 30

cd + 1 = 43 - 30a
b(43-30a) + d = 30
43b - 30ab + d = 30
a=1
cd=42-30=12
13b + d = 30
b=2
d=30-26=4
c=12:4
c=3

a=1
b=2
c=3
d=4