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Mathematics 7 Online
OpenStudy (anonymous):

Solve kx^2-4x+k=0 Could I get please get a nice neat explanation, these problems make me get stuck.

OpenStudy (anonymous):

okay I am here to help you

OpenStudy (anonymous):

You need to use the discriminant \[b^2-4ac\]

OpenStudy (anonymous):

thanks AZteck I forget what it was called ..

OpenStudy (anonymous):

wait that is the quad form right still?

OpenStudy (anonymous):

The discriminant comes from the quadratic formula. \[x=\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\] The discriminant is the expression in the square root as you can see.

OpenStudy (anonymous):

yep that is what I was about to type when I had a brain fart lol

OpenStudy (anonymous):

because an problem that has a x^2 and =0 we that form to slove

OpenStudy (anonymous):

So @AIK \[b^2-4ac=?\] a=k b=-4 c=k Sub in those values in the discriminant and solve for k.

OpenStudy (anonymous):

yep that is right sir

OpenStudy (anonymous):

I got k=2 is that right?

OpenStudy (anonymous):

AIK show me how you got that answer, I want to see the work if you don't mind?

OpenStudy (anonymous):

-4^2 -4k^2=0

OpenStudy (anonymous):

how do i make a multiply sign?

OpenStudy (anonymous):

use your x key

OpenStudy (anonymous):

-4^ -4 k(times)k

OpenStudy (anonymous):

16-4k^2=0

OpenStudy (anonymous):

whoa

OpenStudy (anonymous):

b is -4 and a&c are k ?

OpenStudy (anonymous):

reminder that is -4 raised to the -4 power not 4^4

OpenStudy (anonymous):

but you four -4 fours so the result there is negative

OpenStudy (anonymous):

so -4^-4 is what??

OpenStudy (anonymous):

b^2−4ac its squared right?

OpenStudy (anonymous):

so -4 times -4 would be positive 16

OpenStudy (anonymous):

yes it is squared

OpenStudy (anonymous):

yes it is 16 postive

OpenStudy (anonymous):

so 16 - 4k^2 =0 -> -4k^2= -16 [x-1] -> 4k^2=16 -> k^2= 4 -> k= 2

OpenStudy (anonymous):

with the x i mean multiplies

OpenStudy (anonymous):

okay that is correct nice job

OpenStudy (anonymous):

so why did you say i was wrong o.o?

OpenStudy (anonymous):

no I wasn't saying you were wrong, I wanted to see if you knew or were just gueesing is all..

OpenStudy (anonymous):

When I help here I try to teach and help students

OpenStudy (anonymous):

I am not a teacher myself, just someone that is gifted in math is all

OpenStudy (anonymous):

okay then for some reason it made me think i got it wrong somehow, so I went over my math again

OpenStudy (anonymous):

no sorry my fault that wasn't the point here. I was trying to get you to do the steps is all. Forgive me next time I will be more clearer on that point okay..

OpenStudy (anonymous):

x=+/- 2

OpenStudy (anonymous):

yes that is correct :)

OpenStudy (anonymous):

You cannot only get a positive value when you square root a number.

OpenStudy (anonymous):

You always get a negative value with it as well. Remember that @AIK

OpenStudy (anonymous):

Azteck could have done something here better? I feel like AIK thinks I thought he was wrong tips?

OpenStudy (anonymous):

I

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