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Byju's Answer
Standard IX
Mathematics
Solving Equations Using Method of Substitution
If x=a1 / 3-a...
Question
If x=a⅓-a^-⅓,then find x³-3x-a
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Solution
Sol:
x = (a
1/3
) - (a
-1/3
)
Cubing on both sides,
x
3
= (a
1/3
)
3
- (a
-1/3
)
3
- 3(a
1/3
- a
-1/3
)
x
3
= a - a
-1
- 3x
Putting x
3
in the given equation
x
3
+ 3x - a We get,
a - a
-1
- 3x + 3x - a
= – a
–1
x
3
+ 3x - a = – a
–1
Hope this helps :)
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