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galina1969 [7]
3 years ago
12

X to the second-8x+7=0

Mathematics
2 answers:
guajiro [1.7K]3 years ago
7 0
Answer to this equation is x=1 and x=6 Im not to sure!
Rufina [12.5K]3 years ago
4 0
If your'e looking to complete the square, then here's how you do it:
1.) Subtract 7 from each side: x^{2} -8x=-7
2.) Take half of the value of B, which is 4, then square it to get C
3.) Now you should have x^{2} -8x+(4)^2=-7+(4)^2, because what you do to one side you have to do to the other
4.) Take the value of x^{2} and 4, and plug them into an ordered pair: (x-4)^2=9
Now take the square root of both sides which is equal to x-4=±3
5.) Now subtract 4 from each side to isolate x: x=4<span>±3
6.) Solve: </span>x=4-3 & x=4+3
Final Answer: x=1 & x=7
Hope this helps!!
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evablogger [386]
This question is all about dimensional analysis.  The whole idea behind dimensional analysis is that you multiply a starting value with different conversion factors to cancel out units you don't want to tern the value into the units that you do want.  The conversion for yards to feet can be written as 3 feet/yard (this is the conversion factor it can be written as 3feet/1yard or 1yard/3feet, it depends on what you are starting with).  If you start out with yards and and want to go to feet you have to multiply the number of yards by 3feet/yard so that the yards cancel out leaving you with feet.  If start out with feet and want to go to yards you divide the number of feet by 3feet/yard so that the feet cancel out and you are left with yards.

In your question Tom is trying to go from feet to yards.  Therefore he has to divide the number of feet by 3feet/yard to get feet to cancel out.  His mistake was that he multiplied by 3feet/yard instead of divide by 3feet/yard.  The correct way do it is divide 379 feet by 3feet/yard to get 126.33 yards.

Let me know if anything is unclear to you in the comments.  This is a very important skill to learn since this is the basis of many high school and college science classes.
I hope this helps.
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