if a,b,c are three non-zero constants such that a+b-c=0 ,then which of the following equation has 1 as a root?
1. ax^2 + bx + c = 0
2. ax^2 - bx - c = 0
3. -ax^2 - bx + c = 0
4. -ax^2 - bx - c =0
THANKS!!! 請連解釋 : )
f4 數學 quadratic equation
2010-10-14 5:47 am
回答 (2)
2010-10-14 5:58 am
✔ 最佳答案
if a,b,c are three non-zero constants such that a+b-c=0 ,then which of the following equation has 1 as a root?1. ax^2 + bx + c = 0
2. ax^2 - bx - c = 0
3. -ax^2 - bx + c = 0
4. -ax^2 - bx - c =0
Given a + b - c = 0
a(1^2) + b(1) - c = 0
ax^2 + bx - c = 0
-ax^2 - bx + c = 0
Hence, Answer: 3
參考: Hope the solution can help you^^”
2010-10-14 5:57 am
Substitute x = 1 into all 4 equations, you will find that (3) gives a + b - c = 0, so answer is (3).
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