maths explain please !!

2012-08-06 1:24 am
if x^2-2a^2-b^2=2(x+a)^2-(x-b)^2, then b=

A.1
B.a
C.-2a
D.1-2a
更新1:

it should be x^2-2a^2 not x^2+2a^2 in the first part !!!!! +.+

回答 (1)

2012-08-06 5:46 am
✔ 最佳答案
x^2+2a^2-b^2=2(x+a)^2-(x-b)^2

x^2+2a^2-b^2=2(x^2+2ax+a^2)-(x^2-2bx+b^2)

x^2+2a^2-b^2=2x^2+4ax+2a^2-x^2+2bx-b^2

x^2+2a^2-b^2=x^2+4ax+2a^2+2bx-b^2

So, 4a + 2b = 0 => b = -2a (C)




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