English, asked by naaaaaaaz, 1 year ago

find a quadratic polynomial whose zeroes are
2 +  \sqrt{3 \:  \: }
and 2_
 \sqrt{3 \: plz \: } solve \: this \: problem
hi happy RAKHSHA BHANDHAN to all my friends. ..

Answers

Answered by mannvora74pddroc
0
I think this is the answer. hope it helps. happy Rakshabandhan.
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Answered by Dhruvvala26
0
We have, a=2+√3 and b=2-√3

We know that an quadratic polynomial is of the form,
p(x) =  {x}^{2}  - (a + b)x + ab \\  =  {x}^{2}  - (2 +  \sqrt{3}  + 2 -  \sqrt{3}  )x + (2 +  \sqrt{3} )(2 -  \sqrt{3}) \\  =  {x}^{2}   -4x +  ({2}^{2}  -   {( \sqrt{3}) }^{2} ) \\  =  {x}^{2}  - 4x + 4 - 3 \\  =  {x}^{2}  - 4x + 1
Hence the quadratic polynomial is
 {x}^{2}  - 4x + 1
.

*I have used a instead of alpha and b instead of beta.

naaaaaaaz: hii
mannvora74pddroc: hi
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