Two sets of quadratic expressions are shown below in various forms:
Line 1: x2 − x − 6 (x + 2)(x − 3) (x + 0.5)2 − 6.25
Line 2: x2 − x − 2 (x + 1)(x − 2) (x − 0.5)2 − 2.25
Which line contains three equivalent expressions?
Line 1 only
Line 2 only
Both Line 1 and Line 2
Neither Line 1 nor Line 2
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OpenStudy (geekfromthefutur):
@Nurali
OpenStudy (anonymous):
umm
OpenStudy (anonymous):
do this
simplify x^2-x-6
and x^2-x-2
OpenStudy (anonymous):
in () form
OpenStudy (anonymous):
you will get (x+2)(x-3) for first
and for 2nd (x + 1)(x − 2)
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OpenStudy (anonymous):
so atleast till this point they are equivalent
OpenStudy (geekfromthefutur):
yea :D
OpenStudy (anonymous):
well
now we have to see for 3rd
OpenStudy (anonymous):
now put some value for x
suppose x=2
OpenStudy (anonymous):
when you solve (x+2)(x-3) =-4
and (x + 1)(x − 2) = 0
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OpenStudy (anonymous):
hey is that squared it last equation
OpenStudy (geekfromthefutur):
i think so im not quit sure
OpenStudy (anonymous):
so for x=2
we get
(x + 0.5)2 − 6.25 = 0
and
(x − 0.5)2 − 2.25 = 4
OpenStudy (anonymous):
the values are not equal
OpenStudy (anonymous):
so neither of them have equivalent expression
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