SOLUTION: Please help me solve the following problem with working:
{{{0 = x^2 - (sqrt(2) + sqrt(5))x + sqrt(10)}}}
My answer is..
{{{x = ((sqrt(2) + sqrt(5))+ sqrt(7 - 2sqrt(10)))/2
Algebra.Com
Question 714958: Please help me solve the following problem with working:
My answer is..
The answer is apparently and .
Cheers,
Dio
Found 3 solutions by jim_thompson5910, lynnlo, Alan3354:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
There's probably some trick to solving or simplifying nested radicals, but it's not coming to mind at the moment.
Anyways, there's a much simpler way to see why the answers are and
Rewrite the last term as
Now use the idea that if the roots of are and , then and
So if you replace p with and q with , you get
and
Hopefully that makes sense to you.
Answer by lynnlo(4176) (Show Source): You can put this solution on YOUR website!
what are you asking your answer to your problem is correct
√2,√5
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Please help me solve the following problem with working:
---------------
It can be factored.
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