If f and g are positive, (f + g)2 = 54 and 2fg = 24, what is f2 + g2?(A) 6(B) 12(C) 15(D) 30(E) 78
Question
Solution 1
To solve this problem, we can use the formula for the square of a binomial, which is (a + b)^2 = a^2 + 2ab + b^2.
Given that (f + g)^2 = 54, we can expand this to f^2 + 2fg + g^2 = 54.
We are also given that 2fg = 24.
Substituting 2fg = 24 into the expanded binomial gives us f^2 + 24 + g^2 = 54 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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