The question i have is:
If x=2 is the largest root of the expression 3 - sq. rt(3) +/- sq. rt(4 - 2 sq. rt(3)), explain how you would find the smaller root.
(I think that by writing it the correct way on paper you can understand it correctly)
Below is a link to the picture of the problem:
http://img248.imageshack.us/img248/7743/untitledhj0.jpg
Can someone please tell me what i have to do exactly...PLEASSEE!! =[
2007-04-27 14:36:15 · 3 answers · asked by DominicanBeBe4 2 in Science & Mathematics ➔ Mathematics
But i have to do it with out a calculator, it is all pencil and paper.
2007-04-27 16:23:25 · update #1
It is about .73205
2007-04-27 15:00:09 · answer #1 · answered by bruinfan 7 · 0⤊ 0⤋
If you just carry out the calculation you will get
1.267949 +/- .732051
which gives 2 and 0.535898
You did write out the expression correctly, no need for the URL.
2007-04-27 22:24:27 · answer #2 · answered by ? 5 · 0⤊ 0⤋
3 - sqrt(3) ± sqrt[4 - sqrt(3)]
The larger root will be the positive value, which is 2,
and the smaller root will be the negative value (call it y).
So we have :
3 - sqrt(3) + sqrt[4 - sqrt(3)] = 2
3 - sqrt(3) - sqrt[4 - sqrt(3)] = y
Add them together :
6 - 2*sqrt(3) = 2 + y
Subtract 2 from both sides :
y = 4 - 2*sqrt(3)
This then, is the smaller root.
2007-04-28 06:28:18 · answer #3 · answered by falzoon 7 · 0⤊ 0⤋