Solve for x : 2[x2 + 1x2] − 9[x + 1x] + 14 = 0 :Select an answerA 12, 1, 2 B 2, 4, 13 C 13, 4, 1 DNone of these
Question
Solution 1
The given equation is 2[x² + 1/x²] - 9[x + 1/x] + 14 = 0
Let's substitute y = x + 1/x. Then y² = x² + 2 + 1/x², which simplifies the equation to:
2[y² - 2] - 9y + 14 = 0 2y² - 9y + 10 = 0 y² - 4.5y + 5 = 0
This is a quadratic equation in the form of ay² + by + c = 0. We can solve for y using the 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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