f a, b, and c are three real numbers such that a + b = c – 1 and ab = c2 – 7c + 14, then what is the largest possible value of (a2 + b2 –2)?

Question

f a, b, and c are three real numbers such that a + b = c – 1 and ab = c2 – 7c + 14, then what is the largest possible value of (a2 + b2 –2)?
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Solution 1

To solve this problem, we need to use the given equations and some algebraic manipulations.

Step 1: We are given two equations: a + b = c – 1 and ab = c^2 – 7c + 14.

Step 2: We can rewrite the first equation as c = a + b + 1.

Step 3: Substitute c from the first equation into the second equation t Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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