ce maths

2008-02-28 5:13 am
我想知計算過程牙 吾該晒

If a and b are the roots of X 的2次 + KX - K的二次方 = O and a , 4, b are
consecutive terms of an Arithmetic Sequence, find the value of k


If the lines y=mx+b and x over a + y over b =1 are perpendicular find m


x over a + y over b =1 呢條式係計d 咩ga?

If 4x +1 = x 的二次 +y = 3x - 2 then y = ?

回答 (1)

2008-02-28 5:58 am
✔ 最佳答案
a and b are the roots of x2+kx-k2=0
a+b=-k
a , 4, b are consecutive terms of an Arithmetic Sequence
(a+b)/2=4
k=-8
If the lines y=mx+b and x over a + y over b =1 are perpendicular find m

x over a + y over b =1 is just a form of equation . To find the slope of this equation , we have to re-arrange the term in order to make y in terms of x
y=-bx/a+b
(-b/a)(m)=-1
m=a/b
If 4x +1 = x2+y = 3x - 2 then y = ?
{y=-x2+4x+1-------1
{y=-x2+3x-2-----------2
Sub 1 into 2
4x+1=3x-2
x=-3
y=-(-3)2+3(-3)-2=-20



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