Find the value of (a + b)² given a² + b² = 29 and ab = 10.

Published on November 13, 2024

Algebra

To find (a+b)^2, given a^2 + b^2 = 29 and ab = 10, substitute the given values into the equation (a+b)^2 = a^2 + 2ab + b^2, resulting in (a+b)^2 = 49.

Question

Answer

Here’s how to solve the problem:

We are given

and

. We want to find

We know that

We can rewrite this as

We are given that

and

. Substituting these values into the equation, we get:

Therefore, the answer is 49.

Final Answer: The final answer is

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