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Whenever the terms on the two sides of t...

Whenever the terms on the two sides of the equation are of different nature, then equations are known as Non standard form, some of them are in the form of an ordinary equation but can not be solved by standard procedures.
Now standard problems require high degree of logic, they also require the use of graphs, inverse properties of functions, inequalities.
On the basis of above information, answer the following questions:
The equation `2cos^(2)(x/2)=x^(2)+x^(-2), 0 lt x^(-2), 0 lt x le pi/2` has

A

one real solutions

B

more than one real solutions

C

no real solutions

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
C
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Whenever the terms on the two sides of the equation are of different nature, then equations are known as Non standard form, some of them are in the form of an ordinary equation but can not be solved by standard procedures. Now standard problems require high degree of logic, they also require the use of graphs, inverse properties of functions, inequalities. On the basis of above information, answer the following questions: The number of solutions of the equation sinx=x^(2)+x+1 is-

Whenever the terms on the two sides of the equation are of different nature, then equations are known as Non standard form, some of them are in the form of an ordinary equation but can not be solved by standard procedures. Now standard problems require high degree of logic, they also require the use of graphs, inverse properties of functions, inequalities. On the basis of above information, answer the following questions: The number of real solutions of the equation sin(e^(x)) = 5^(x)+5^(-x) is

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