HELP ME FRIENDS PLZZZ
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SOLUTION ☺️
=) Polynomial is (a^2+9)x^2+13x+6a
Let one zero be B then other zero will be reciprocal of it 1/B
Therefore,
Product of zeroes= constant term/coefficient of x^2
=) 1 (as B×1/b= 1)
=) 6a/(a^2+9)= 1
=) 6a= a^2+9
=) a^2-6a+9= 0
=) (a-3)^2=0
=) a-3= 0
=) a= 3
Polynomial will be (3^2+9)x^2+13x+6×3
=) 18x^2+13x+18
This polynomial will be have seems roots because,
=) b^2- 4ac<0
hope it helps ✔️
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