Can anyone help me with this? I really have a hard time solving the problem.
Give $7a^2+3a^2b+14ab-2ab^2=61$ and $7b^2-3a^2b+2ab^2=2$, find the value of |a+b|.
2026-03-27 07:13:18.1774595598
find the value of |a+b|
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Here is how to solve the problem. First look at the equations carefully. They have something in common, and these must mean something.
$$7a^2+3a^2b+14ab-2ab^2=61 --- (1)$$ $$7b^2-3a^2b+2ab^2=2 -------(2)$$
If you add equations (1) and (2), you get $$7a^2+14ab+7b^2=63 -----(3)$$ which means that $$7(a+b)^2=63-------(4)$$ Then you can find the value of |a+b|.