Question

a)Rezolvati ecuatia 4-5x=1 in multimea numerelor rationale.
b)Calculati | 3-√10 | + | 5-√10 | -2.
c)Calculati ( - 5 pe 2 )la puterea -1 - 2 la puterea -1 · 1 pe 5 + 0,2 pe √2 · √8

Answer 1

A) 4-5x=1 -5x=1-4
-5x=-3        (-1)
5x=3
x=3/5b) | 3-√10 | + | 5-√10 | -2.
I3-√10I=I√10-3I=√10-3
I5-√10I=5-√10
√10-3+5-√10-2=0
c) ( - 5/2 )⁻¹ - 2⁻¹ · 1/ 5 + 0,2 /√2 · √8=
(-2/5)-1/2·1/5+(2/10:√2)·√8=
-2/5-1/10+(2/10·1/√2)·2√2=
(-4-1)/10+2/10√2·2√2=   simplificam ce se poate=
-5/10+2/5=(-5+10)/10=5/10=1/2