can you solve plz this equation ?!!
in the pic below
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OpenStudy (anonymous):
OpenStudy (anonymous):
x=0 i think
OpenStudy (swissgirl):
Is it square root or cubed root?
OpenStudy (anonymous):
cubed root
OpenStudy (anonymous):
@swissgirl plz help :)
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OpenStudy (swissgirl):
hahahah I am trying to but too much going on at my end give me a few minutes
OpenStudy (anonymous):
why did you removed the roots ?!!
OpenStudy (swissgirl):
Whoops that was wrong I used a non existant property to solve that. Wait let me do this again
OpenStudy (anonymous):
lets call a = (2-x)^(1/3)
b = (2+x)^(1/3)
so we have
a+b = 4^(1/3)
raise both sides to the power of 3 and get :
a^3 + 3a^2b + 3ab^2 + b^3 = 4
but we know :
a^3 = (2-x)
and
b^3 = 2+x
so we get:
2-x +3a^2b + 3ab^2 + 2+x = 4
->
a^2b+ab^2 = 0
ab(a+b) = 0
so
a = 0 or b = 0 or a = -b
for a = 0 we get x = 2
for b = 0 we get x = -2
for a = -b we get 4 = 0 which is not true
so
x=2 or x = -2.
OpenStudy (anonymous):
thanx a lot @swissgirl and @Coolsector
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