If a2 +  b2 + 49c2 + 18 = 2(b - 28c - a) then the value of (a + b - 7c) is:4321

Question

If a2 +  b2 + 49c2 + 18 = 2(b - 28c - a) then the value of (a + b - 7c) is:4321
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Solution 1

The given equation is a^2 + b^2 + 49c^2 + 18 = 2(b - 28c - a).

Let's rearrange the equation:

a^2 + 2a + b^2 - 2b + 49c^2 + 2*28c + 18 = 0.

This can be rewritten as:

(a + 1)^2 + (b - 1)^2 + (7c + 1)^2 = 0.

Since the square of a real number is always non-negative, the sum of three squares equals 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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