請幫幫忙,有條問題唔知應該點做

2010-07-14 10:37 pm
solve for x
(x+2)(x-4)=(a+2)(a-4)


連埋step 唔該

回答 (3)

2010-07-14 10:47 pm
2010-07-14 11:02 pm
(x+2)(x-4)=(a+2)(a-4)
x^2-2x-8.=a^2-2a-8
x^2-a^2...=2(x-a)
(x+a)(x-a)=2(x-a)
(x+a)........=2
x.............=2-a

其實你如果THINK清楚條題目,a=x...............

..................x=2-x
............2x....=2
.................x.=1
2010-07-14 10:52 pm
(x+2)(x-4)=(a+2)(a-4)

x^2 + 2x - 4x - 8 = a^2 + 2a - 4a - 8

x^2 - 2x = a^2 - 2a

x^2 - a^2 - 2x + 2a = 0

(x - a)(x + a) - 2(x - a) = 0

(x - a)(x + a - 2) = 0

x = a or x = 2 - a


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