I don't know how to find the range of the values of x?

2015-11-07 12:13 pm
更新1:

答案與書不同!請各位再幫忙看看,謝謝!

回答 (1)

2015-11-08 4:11 am
(1) y = x^2 - 8x + 14

2(x + y) = 16 ==> x = 8 - y

x = 8 - y >= y + 2

0 >= 2y - 6

0 >= y - 3

= x^2 - 8x + 14 - 3

= x^2 - 8x + 11

= (x-4+√5)(x-4-√5)


Answer: 4-√5 <= x <= 4+√5



(2) x = ?

ΔABC = 0.5(x+3)(2x-1)*sin30

= (2x^2 + 5x - 3)/4

<= 7

0 >= 2x^2 + 5x - 31

= [x+(5+√273)/4][x+(5-√273)/4]


Answer: (-5-√273)/4 <= x <= (-5+√273)/4


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