好趕+超短的SUPER EASY,SILLY MATHS~

2011-03-06 3:18 am
Please show all workings: Q1) The line y=x-6 and the parabola y^2=8x intersect at A and B. Find the length of ABAns: 16root2

回答 (2)

2011-03-06 3:26 am
✔ 最佳答案
Q1) The line y=x-6 and the parabola y^2=8xintersect at A and B. Find the length
of AB
Sol
y^2=8x
(x-6)^2=8x
x^2-12x+36=8x
x^2-20x+36=0
(x-18)(x-2)=0
x=18 or x=2
(1) x=18
y=18-6=12
(2) x=2
y=2-6=-4
So
AB^2=(18-2)^2+(12+4)=512
AB=16√2


2011-03-06 10:07 pm
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