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Oxford University MAT 2019 Solved Papers
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© examsnet.com
Question : 1
Total: 10
The equation
x
3
−
300
x
=
3000
has
no real solutions.
exactly one real solution.
exactly two real solutions.
exactly three real solutions.
infinitely many real solutions.
Validate
Solution:
A The cubic on the left-hand side,
x
3
−
300
x
, has turning points at
x
=
±
10
, and at
x
=
−
10
the cubic has value 2000 . Since the right-hand side of the equation is greater than 2000 , there can only be one root to the equation.
The answer is (b)
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