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Question

How many roots do. the following equations possess?
x4+x3=10.

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Solution

x4+x3=10 (given)
f(x)=x4x310=0
f(1)=10 , f(2)=16810=2 , f(3)=812710=44
As f(x) changes sign from f(2) to f(3). So, Root lies b/w (2,3). ONLY 1 ROOT

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