Question

find a quadratic polynomial whose zero are 2+√5/2 and 2-√5/2​

Answer 1

Answer:

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Answer 2

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Let the zeroes of the quadratic polynomial be α=22+5,β=22−5

Let the zeroes of the quadratic polynomial be α=22+5,β=22−5Then, α+β=22+5+22−5=22+5+2−5=2

Let the zeroes of the quadratic polynomial be α=22+5,β=22−5Then, α+β=22+5+22−5=22+5+2−5=2αβ=22+5×22−5=4(2+5)(2−5)=44−5=4−1

Let the zeroes of the quadratic polynomial be α=22+5,β=22−5Then, α+β=22+5+22−5=22+5+2−5=2αβ=22+5×22−5=4(2+5)(2−5)=44−5=4−1Sum of zeroes =α+β=2 

Let the zeroes of the quadratic polynomial be α=22+5,β=22−5Then, α+β=22+5+22−5=22+5+2−5=2αβ=22+5×22−5=4(2+5)(2−5)=44−5=4−1Sum of zeroes =α+β=2 Product of zeroes =αβ=−41

Let the zeroes of the quadratic polynomial be α=22+5,β=22−5Then, α+β=22+5+22−5=22+5+2−5=2αβ=22+5×22−5=4(2+5)(2−5)=44−5=4−1Sum of zeroes =α+β=2 Product of zeroes =αβ=−41Then, the quadratic polynomial