tìm x
a)320: ( x-1)=(5 mũ 3 - 5 mũ 2):4+15
b)75: ( x +2)=5mũ3 - (3mũ2+4mũ2) . 2mũ2
c)260:( x + 4)=5 (2mũ3 + 5)-3 (3mũ2+2mũ2)
d)(2mũ3 + 3)(x-5)+14=5mũ2 =124 : 2mũ2
e)3mũ2 ( x+1)-3=2mũ3 +(7mũ2 . 2) : 14
f)2mũ2 . 3 (x+5)-6mũ2=(2mũ3 + 2mũ2) . 2mũ2
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`320:(x-1)=(5^3 - 5^2):4+15`
`320:(x-1)=100:4+15`
`320:(x-1)=25+15`
`320:(x-1)=40`
`x-1=320:40`
`x-1=8`
`x=8+1`
`x=9`
Vậy `x=9`
`b)`
`75:(x+2)=5^3 - (3^2 +4^2).2^2`
`75:(x+2)=125-25.4`
`75:(x+2)=125-100`
`75:(x+2)=25`
`x+2=75:25`
`x+2=3`
`x=3-2`
`x=1`
Vậy `x=1`
`c)`
`260:(x+4)=5(2^3 +5)-3(3^2 +2^2)`
`260:(x+4)=5(8+5)-3(9+4)`
`260:(x+4)=5.13-3.13`
`260:(x+4)=13(5-3)`
`260:(x+4)=13.2`
`260:(x+4)=26`
`x+4=260:26`
`x+4=10`
`x=10-4`
`x=6`
Vậy `x=6`
`d)`
`(2^3 +3)(x-5)+14=5^2+124 :2^2`
`(8+3)(x-5)+14=25+124:4`
`11(x-5)+14=25+31`
`11(x-5)+14=56`
`11(x-5)=56-14`
`11(x-5)=42`
`x-5=42:11`
`x-5=42/11`
`x=42/11+5`
`x=97/11`
Vậy `x=97/11`
`e)`
`3^2 (x+1)-3=2^3 +(7^2 .2):14`
`9(x+1)-3=8+(49.2):14`
`9(x+1)-3=8+98:14`
`9(x+1)-3=8+7`
`9(x+1)-3=15`
`9(x+1)=15+3`
`9(x+1)=18`
`x+1=18:9`
`x+1=2`
`x=2-1`
`x=1`
Vậy `x=1`
`f)`
`2^2 . 3(x+5)-6^2=(2^3+2^2) .2^2`
`4 .3(x+5)-36=(8+4).4`
`12(x+5)-36=12.4`
`12(x+5)-36=48`
`12(x+5)=48+36`
`12(x+5)=84`
`x+5=84:12`
`x+5=7`
`x=7-5`
`x=2`
Vậy `x=2`
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3718
2562
Đáp án `+` Giải thích các bước giải:
`a) 320 : (x-1) = (5^3 - 5^2) : 4 +15`
`=> 320 :(x-1) = (125 -25) : 4 +15`
`=> 320 : (x-1) = 100 : 4 + 15`
`=> 320 : (x-1) = 40`
`=> x-1 = 8`
`=> x=9`
`b) 75 : (x+2) = 5^3 - (3^2 + 4^2) .2^2`
`=> 75 : (x+2) = 125 - (9+16) . 4`
`=> 75 : (x+2) = 125 - 100`
`=> 75 : (x+2) = 25`
`=> x+2 = 3`
`=> x=1`
`c) 260 :(x+4) =5.(2^3 + 5) - 3.(3^2 + 2^2)`
`=> 260: (x+4) = 65 - 39`
`=> 260 : (x+4) = 26`
`=> x+4 =10`
`=> x=6`
`d) (2^3 + 3)(x-5) + 14 = 5^2= 124 :2^2` (đề chưa rõ )
`e) 3^2 (x+1) - 3 = 2^3 + (7^2 .2) :14`
`=> 9(x+1) -3 = 8 + 98 : 14`
`=> 9(x+1) -3 = 15`
`=> 9(x+1) = 18`
`=> x+1 =2`
`=> x=1`
`f) 2^2 . 3(x+5) -6^2 = (2^3 +2^2) .2^2`
`=> 4 . 3(x+5) -36 = 12.4`
`=> 12(x+5) -36 = 48`
`=> 12(x+5) = 84`
`=> x+5 = 7`
`=> x=2`
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