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if one zero of polynomial (a^2 +9)x^2 +13x +6a is reciprocal of the other ,fimd the value of a

Posted by Shriya ?? 7 years, 7 months ago

CBSE > Class 10 > Mathematics

3 answers

Unnati Pragya 7 years, 7 months ago

Other zero=1/a product of zero= 1/a*a=1 But product of zero= 6a/a^2+9 1=6a/a^2+9 a^2+9=6a a^2-6a+9=0 a^2 - 3a-3a+9=0 a(a-3)-3(a-3) = 0 (a-3) ( a-3)=0 Hence,a=3

1Thank You

Adarsh Sharma 7 years, 7 months ago

a is 3

1Thank You

Aaditya Kumar 7 years, 7 months ago

0Thank You

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CBSE > Class 10 > Mathematics