Răspuns :
Răspuns:
a) 7x=12(⁴⁾1/3+³⁾1/4)
7x=12·7/12
simplifici 12 cu 12
7x=7=>x=1
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b) 4x-75(1/5-1/5:5)
4x=75(1/5-1/5·1/5)
4x=75·(⁵⁾1/5-1/25)
4x=75·4/25
4x=3·4=>x=12:4=>x=3
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c) 3·(x+1)=8·(0,75+6,75)
3x+3=8·7,5
3x=60-3=>x=57:3=>x=19
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d) 45 ·[0,2+0,(2)]=2x+1
0,(2)=2/9
0,2=2/10=1/5
45·(⁹⁾1/5+⁵⁾2/9)=2x+1
45·19/9=2x+1
5·19=2x+1
95-1=2x=>x=94:2=>x=47
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e) 992· [2⁴⁹(2²-2-1)]=8¹⁶·31x
992·(2⁴⁹·1)=8¹⁶·31x
992·2⁴⁹:8¹⁶=31x
2⁵·31·2⁴⁹:(2³)¹⁶=31x
31·2⁵⁺⁴⁹⁻⁴⁸=31x
31·2⁶=31x
31·64=31x=>x=64
am descompus 992=2⁵·31
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f) x·x=8·(14+4)
x²=8·56
x²=√3136=>x=56
inmultesti pe diagonala