Răspuns :
1)
9 × 1 + 1 = 9 + 1 = 10
9 × 2 + 1 = 18 + 1 = 19
9 × 3 + 1 = 27 + 1 = 28
9 × 4 + 1 = 36 + 1 = 37
9 × 5 + 1 = 45 + 1 = 46
9 × 6 + 1 = 54 + 1 = 55
9 × 7 + 1 = 63 + 1 = 64
9 × 8 + 1 = 72 + 1 = 73
9 × 9 + 1 = 81 + 1 = 82
9 × 10 + 1 = 90 + 1 = 91
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ab ∈ {10; 19; 28; 37; 46; 55; 64; 73; 82; 91}
2)
5 + 5 : {[5 + 5 × (a - 5)] : 5 - 5} = 10
5 : {[5 + 5 × (a - 5)] : 5 - 5} = 10 - 5
5 : {[5 + 5 × (a - 5)] : 5 - 5} = 5
{[5 + 5 × (a - 5)] : 5 - 5} = 5 : 5
[5 + 5 × (a - 5)] : 5 - 5 = 1
[5 + 5 × (a - 5)] : 5 = 1 + 5
[5 + 5 × (a - 5)] : 5 = 6
[5 + 5 × (a - 5)] = 6 × 5
5 + 5 × (a - 5) = 30
5 × (a - 5) = 30 - 5
5 × (a - 5) = 25
(a - 5) = 25 : 5
a - 5 = 5
a = 5 + 5
a = 10
Răspuns:
1)
ab:9= x, r=1
ab=9×2+1=19
ab=9×3+1=28
ab=9×4+1=37
ab=9×5+1=46
ab=9×6+1=55
ab=9×7+1=64
ab=9×8+1=73
ab=9×9+1=82
ab=9×10+1=91
Nr de forma ab sunt: 19,28,37,46,55,64,73,82,91
2)
5+5:{[5+5x(a-5)]:5-5}=10
5:{[5+5x(a-5)]:5-5}=5
[5+5x(a-5)]:5-5=25
[5+5x(a-5)]:5=30
5+5x(a-5)=150
5x(a-5)=145
a-5=145/5x
a=145/5x+5
a=29/x+5
Amflicam 5 cu 1/x
a=(29+5)/x
a=34/x
Explicație pas cu pas: