F.1 Maths題,急

2010-11-18 2:14 am

2題開放式題目請提供列式+答案,最好有埋中文意思.
1.When you add a number to both sides of a linear equation in one unknown, then multiply both sides of the equation by the same number, the solution to the equation can be obtained.Set up an equation to satisfy the above.

2.The root of the equation ax+b=cx+d is 2, where a,b,c and d are all non-zero intergers.Find a set of values of a,b,c and d.

回答 (1)

用戶2053

2010-11-18 4:04 am

✔ 最佳答案

1)在一個一元一次方程式的兩方同時加上一個數,接著於兩方同時乘上同一個數,
則此方程求解完畢。找出一個方程滿足上述條件。
x/2 - 2 = 0 滿足上述條件 :x/2 - 2 + 2 = 0 + 2 兩方同時加上2
x/2 = 2(x/2) * 2 = 2 * 2 兩方同時乘上2
x = 4 求解完畢
2)方程 ax+b=cx+d 的根是 2 , 其中 a , b , c , d 為非 0 整數。
求一組這樣的 a , b , c , d。ax+b=cx+dax - cx = d - bx(a - c) = d - bx = (d - b) / (a - c)2 = (d - b) / (a - c)取 d - b = 2 , a - c = 1 ,例如 3 - 1 = 2 , 5 - 4 = 1一組這樣的 a , b , c , d 為 a = 5 , b = 1 , c = 4 , d = 3

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