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Maths AS

Custardcream000

Given that that the following equation has equal roots, calculate the possible value(s) of k:
x^2 - 3kx = (4k+1)=0
a=1, b=-3k, c=(4k+1)
9k^2-16k-4=0
(9k+2)(k-2)=0
k=-2/9 or k= 2

is that the discriminant ?

Surely if it is meant to have equal roots then k would equal the same?

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Original post by Custardcream000

Given that that the following equation has equal roots, calculate the possible value(s) of k:x^2 - 3kx = (4k+1)=0a=1, b=-3k, c=(4k+1)9k^2-16k-4=0(9k+2)(k-2)=0k=-2/9 or k= 2

Yep you are correct

(edited 8 years ago)

Original post by TheMission!

Surely if it is meant to have equal roots then k would equal the same?

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k has nothing to do with the roots

Original post by h3110

k has nothing to do with the roots

Thought it did? Thought if it has one repeated root then K would be the same?

Original post by TheMission!

Thought it did? Thought if it has one repeated root then K would be the same?

if b^2 - 4ac > 0 then x has 2 real solutions

if b^2 - 4ac = 0 then x has 1 real solution

if b^2 - 4ac < 0 then x has no real solutions

Original post by h3110

if b^2 - 4ac > 0 then x has 2 real solutions

if b^2 - 4ac = 0 then x has 1 real solution

if b^2 - 4ac < 0 then x has no real solutions

Oh yeah you are right :smile:

:smile:

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