find set of values, district roots
hi,
i nned to know how to answer this question:
Find a set of values of x for the equation have two district roots, x^2-6x+k=0
im not too sure how i would complete this question, so could someone provide some help please?
thanks!
Re: find set of values, district roots
Quote:
Originally Posted by
andyboy179
hi,
i nned to know how to answer this question:
Find a set of values of x for the equation have two district roots, x^2-6x+k=0
im not too sure how i would complete this question, so could someone provide some help please?
thanks!
If it has two distinct roots then the discriminant must be greater than 0:
Where a=1, b=-6, c=k
Re: find set of values, district roots
-6^2-4x1x4>0
-36+-16>0
-52>0?
Re: find set of values, district roots
Quote:
Originally Posted by
andyboy179
-6^2-4x1x4>0
-36+-16>0
-52>0?
a = 1 , b = -6 , c = k
order of operations? try again ...
^2 - 4(1)(k) > 0)
Re: find set of values, district roots
oh poo!
-6^2-4x1xk>0
-36+-4k>0
>36+4k
36/4= 9
K=9?
Re: find set of values, district roots
Quote:
Originally Posted by
andyboy179
oh poo!
-6^2-4x1xk>0
-36+-4k>0
>36+4k 36/4= 9
K=9?
no ...
1. apparently, you do not understand the difference between
and
.
2.
?
3. you are solving an inequality ... where did the equal sign come from?
Re: find set of values, district roots
-6^2-4x1xk>0
36+-4k>0
36>4k
36/4= 9
k>9?
Re: find set of values, district roots
Quote:
Originally Posted by
andyboy179
-6^2-4x1xk>0
36+-4k>0
36>4k
36/4= 9
k>9?
You changed the direction of the inequality in the last line but there is no need to since you were dividing by +4.

Re: find set of values, district roots
so what would be the set of values for x?
Re: find set of values, district roots
Quote:
Originally Posted by
andyboy179
so what would be the set of values for x?
That's a good question, are you sure the question doesn't ask for the values of k instead of x?
When we work out the nature of the roots (whether they're real/distinct) it's the coefficients of x that matter rather than values of x itself
Re: find set of values, district roots
it is definetly x! umm im not too sure how to do the next part then.