zeroes are
the Quadriatic Polynomial whose zeroes
4 √5 and 4-√5 is ?
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Que :- Find the quadratic polynomial whose zeroes are 4+√5 and 4-√5.
Ans :- Sum of zeroes = 4+√5 + 4-√5.
= 8
Product of zeroes = (4+√5)(4-√5)
= (4)² - (√5)²
= 16 - 5
= 11
Now
Sum of zeroes = -b/a
= -8/1
Product of zeroes = c/a
= 11/1
a = 1
b = -8
c = 11
Putting it in quadratic equation ax² + bx + c = 0
x² - 8x + 11 = 0
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