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Question

The equation ex-8+2x-17=0 has:


A

one real root

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B

two real roots

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C

eight real roots

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D

four real roots

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Solution

The correct option is A

one real root


Explanation for the correct answer:

Finding the number of roots:

Given the equation is ex-8+2x-17=0

Let's consider

ex-8=-2x+17

If we apply x=8 in the above equation, we get

LHS=ex-8=e0=1RHS=-2x+17=-16+17=1LHS=RHS

We see that if x=8, then y=1.

Therefore, (8,1) satisfies the equation and is the solution of the equation.

So, the equation has only one root.

Hence, the correct answer is option (A).


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