Math, asked by malusanthosh10, 1 year ago

Find the quadratic polynomial whose zeroes are 7± √5

Answers

Answered by dhathri123
151
hi friend,

given zeros of the quadratic polynomial are 7+√5 and 7-√5

→sum of zeros =7+√5+7-√5

=14

→product of zeros =(7+√5)(7-√5)=49-5=44

so, required polynomial is x²-(sum of zeros) x+product of zeros

→x²-14x+44

I hope this will help u ;)

malusanthosh10: Very very thanks
dhathri123: welcome :)
Answered by Anonymous
37
Sum of zeros =7+√5+7-√5 =14

Product of zeros =(7+√5)(7-√5)=49-5=44

Hence,the required polynomial = x2 - (sum of zeros) x + product of zeros

= x2 -14x + 44
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