一條中一既數學題目~!

2007-01-08 6:58 am
Solve the follwing literal equation for z.
2z     z
-- - C=-- + 7
a      3a

最佳回答要求:
1)詳細解釋個答案係點求[用中文]
2)詳細寫出步驟
3)計到正確答案

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回答 (4)

2007-01-08 7:03 am
✔ 最佳答案
2z/a - C = z/3a + 7

移項:

2z/a = z/3a + 7 + C

移項:

2z/a - z/3a = 7 + C

整理:

(2 - 1/3)z/a = 7 + C

整理:

(5/3)z/a = 7 + C

左右乘3/5:

z/a = 3(7 + C)/5

左右乘a:

z = 3a(7 + C)/5
參考: me, 好詳細
2007-01-18 5:42 pm
2z/a - c = z/3a + 7
同分母: (2z-ac)/a = (z+21a)/3a
交差相乘: (2z-ac) x 3a = (z+21a) x a
做約簡: 3(2z-ac) = a(z+21a)
6z-3ac = az + 21a2(a二次方)
6z-az = 21a2 - 3ac
z(6-a) = 3a( 7a-c)
z = [3a(7a-c)]/(6-a)
2007-01-13 3:18 am
  2z/a - c = z/3a + 7   <-題目
 (2z/a - c) = (z/3a + 7)
   6z - 3ac = z + 21a
  6z - 3ac = z + 21a  
   5z - 3ac = 21a     
     5z = 21a  
      5z = 3a(7 + c)  
       z = 3a(7 + c)/5  <- 案答
      
2007-01-10 8:24 am
   2z/a - c = z/3a + 7
3a x (2z/a - c) = 3a x (z/3a + 7)  [兩邊乘3a,個人認為分數冇咁好做]
   6z - 3ac = z + 21a
 6z - 3ac - z = z + 21a - z    [答題時這步可省略]
   5z - 3ac = 21a       [答題時這步可省略]
5z - 3ac + 3ac = 21a + 3ac    [答題時這步可省略]
      5z = 3a(7 + c)    [最好當然係factorize左佢啦,唔做都可以,因題目冇要求]
      z = 3a(7 + c)/5


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