The number of points, where the curve f ( x ) = e 8 x − e 6 x − 3 e 4 x − e 2 x + 1 , x ∈ R cuts x -axis, is equal to............
Question
Solution 1
The curve f(x) = e^8x - e^6x - 3e^4x - e^2x + 1 cuts the x-axis where f(x) = 0.
So, we need to solve the equation e^8x - e^6x - 3e^4x - e^2x + 1 = 0.
This equation is a quadratic in terms of e^4x. Let's substitute e^4x = y. Then the equation becomes:
y^2 - y - 3y - 1 + 1 = 0
Simplifying, we get Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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