Mathematics
6 Online
OpenStudy (anonymous):
x^2-6=0
why isnt it (x+2) (x-3)=0 just need to know why
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hartnn (hartnn):
because 3*3=9 and not 6
hartnn (hartnn):
x^2-9 = x^2-3^2 = (x+3)(x-3)
hartnn (hartnn):
x^2-6 = x^2-9+3 = (x+3)(x-3)+3
OpenStudy (anonymous):
typo its suppose to be (x-3) (x+2)
hartnn (hartnn):
ohh,
(x-3)(x+2) = x^2 -3x+2x -6
=x^2 -x -6
and not x^2 -6
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OpenStudy (anonymous):
if factored is it (x-3) (x+2) or square root +-6?
hartnn (hartnn):
roots are \(\large \pm \sqrt6\)
factors are \((x+\sqrt6)(x-\sqrt6) \)
OpenStudy (anonymous):
but it is not (x-3) (x+2)
hartnn (hartnn):
exatly! its not
because (x-3)(x+2) = x^2-x-6
OpenStudy (anonymous):
ooh i see
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OpenStudy (anonymous):
(x-3) (x-2)= x^2-2x-3x+6=x^2-5x+6...so u got an extra 5x
hartnn (hartnn):
ask if still any doubts.
OpenStudy (anonymous):
so when ever it is not a perfect square, i have to to take the square root of both side?
OpenStudy (anonymous):
You have to take the square root regardless.
hartnn (hartnn):
whenever ?
when its in the form of
x^2 - a^2 = 0
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hartnn (hartnn):
then shift a^2 to other side and take square root.
OpenStudy (anonymous):
k thanks
hartnn (hartnn):
welcome :)
OpenStudy (anonymous):
bcs u hv 1 exttra x :)
OpenStudy (anonymous):
:D