Question

find a quadratic polynomial whose zeroes are 5+root2 and 5-root2

Answer 1

Hiiii friend,


(5+✓2) and (5-✓2) are the two zeros.

Sum of zeros = (5+✓2+5-✓2) = 10

And,

Product of zeros = (5+✓2)(5-✓2) = (5)² - (✓2)² = 25-2 = 23


Therefore,


Required Quadratic polynomial = X²-(Sum of zeros)X + (Product of zeros)

=> X²-(10)X+23

=> X²-10X+23

HOPE IT WILL HELP YOU...... :-)

Answer 2

Hello friend

Good evening

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Your answer is present in the given attachment

I hope it will help you a lot

Thanks



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