SOLUTION: A common student error when solving a quadratic equation is simplifying incorrectly. Consider the following INCORRECT solution: 2+/- the square root of 7 divided by 2 = 1+/

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Question 370623: A common student error when solving a quadratic equation is simplifying incorrectly. Consider the following INCORRECT solution:
2+/- the square root of 7 divided by 2
=
1+/- square root of 7
Explain why x= 1+-sqrt7 is the incorrect solution.
Is this not able to be factored any further from 2+-sqrt7/2 because the whole numerator needs divided by 2?

Found 3 solutions by amoresroy, jim_thompson5910, mananth:
Answer by amoresroy(361)   (Show Source): You can put this solution on YOUR website!
A common student error when solving a quadratic equation is simplifying incorrectly. Consider the following INCORRECT solution:
2+/- the square root of 7 divided by 2
=
1+/- square root of 7
Explain why x= 1+-sqrt7 is the incorrect solution.
The correct solution is
x= 1+-(sqrt7)/2
You need to divide the numerator by 2

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Yes, the ENTIRE numerator is divided by 2 which means that you'll need to reduce , but since you can't, it's best to leave the solution as
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!

..
you have youself answered the question.As you see above
is in the numerator
when you simplify each term in the numerator has to be divided by 2

=
if you need to simplify further you have to use a calculator to write the answer in decimals.
x= 1+3.228
x= 4.228
..
the same applies for the other root.
...
m.ananth@hotmail.ca

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