WBJEE · Maths · Quadratic Equation
The equation \(2^x+5^x=3^x+4^x\) has
- A no real solution
- B only one non-zero real soltuion
- C infinitely many solutions
- D only three non-negative real soltuions
Answer & Solution
Correct Answer
(B) only one non-zero real soltuion
Step-by-step Solution
Detailed explanation
(i) \(y=2^x+5^x\) (ii) \(y=3^x+4^x\) option (2) \({ }^*\) * \(x=0\) and 1 are the roots \(\Rightarrow\) one non zero real solution
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