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Question

Find the value of a and b in the following: 5+237+43=a-b3


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Solution

Find the value of a and b in 5+237+43=a-b3by rationalizing the denominator

Consider the L.H.S of the given equation

5+237+43

Rationalize the denominator

5+237+43=5+237+43×7-437-43

=35203+1432449-48

=11-63

Compare L.H.S with R.H.S

11-63=a-b3

a=11,b=6

Hence the answer is a=11,b=6


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