SOLUTION: when solving for (3x+7)^2 =676 can you leave the answer as x^2 =69.7

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Question 438036: when solving for (3x+7)^2 =676 can you leave the answer as x^2 =69.7
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


No, absolutely not. There are two very compelling reasons, one general and the other specific, why not.

First, in general, when you are asked to solve for , you have to solve for , not or anything else.

Second, specifically for this problem, . Not even close.

Start over. Take the square root of both sides. Remember to consider both the positive and negative roots. Set 3x + 7 equal to the positive root and solve. Then set 3x + 7 equal to the negative root and solve. Since 676 is a perfect square, x will be a rational number.

John

My calculator said it, I believe it, that settles it
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