(R-a)(R-a)=R^2-b^2 問數學

2008-01-15 5:19 am
(R-a)(R-a)=R^2-b^2

咁 最後求 R = ? 算式呢

回答 (3)

2008-01-15 5:29 am
✔ 最佳答案
(R-a)^2=R^2-2(b)^2
R^2 - 2Ra + a^2 = R^2 - 2(b)^2
2Ra = a^2 + 2(b)^2
R = a/2 + (b)^2/a
2008-01-25 6:48 pm
change to :
R=[(b/2)^2 + a^2]2a
2008-01-15 6:28 pm
(R-a)^2=R^2-2(b)^2
R^2-2aR+a^2=R^2-2b^2
-2aR=-2b^2-a^2
-2aR=-(2b^2+a^2)
R=(2b^2+a^2)/2a

R^2 - (b/2)^2 = (R-a)^2
R^2 - (b/2)^2 = R^2-2aR+a^2
- (b/2)^2 =-2aR+a^2
2aR=(b/2)^2+a^2
2aR=b^2/4+a^2
2aR=(b^2+4a^2)/4
R=(b^2+4a^2)/8a
參考: me


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