Question

help me out...

It is given that -1 is one of the roots of quadratic equation mx^2 - 3x - k = 0 where m and k are constants. Express m in term of k.

Answer 1

just plug in x=-1 in that equation
as -1 is the root, it satisfies that equation

Answer 2

is it the answer ... m+3-k=0

Answer 3

yes, so m=k-3

Answer 4

ok, how about this question.....

express y in terms of x.
how do i do this?

Answer 5

tricky....
let xy = Y
1/x=X
you have 2 points, in XY plane, find the equation of line in terms of X and Y, can you ?

Answer 6

no

Answer 7

you don't know how to find equation of line when 2 points are given ?
start by finding the slope, have the formula of slope with you ?

Answer 8

is the slope of the line is the gradient ? so can i make it using y-y=m(x-x)

Answer 9

yes, correct, use that and tell me the equation of line...

Answer 10

y-3= 5(x-2)
y-3=5x-10
y=5x-7

Answer 11

correct! its actually
Y=5X-7

now plug in back, X = 1/x , Y =xy

Answer 12

xy= 5/x - 7

Answer 13

yes, just isolate the 'y'
by dividing both sides by 'x'

Answer 14

5/x^2 - 7/x

Answer 15

yes, i think thats correct.