if one zero of the polynomial (a+2)x^2+6x+5a is reciprocal of the other, then find the value of a
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Let the zeroes of the polynomial are p and 1/p
p(x)=(a+2)x^2+6x+5a
Compare p(x) with ax^2+bx+c=0
a=(a+2),b=6,c=5a
i) product of the zeroes=c/a
p*1/p=5a/(a+2)
a+2=5a
2=4a
a=1/2
p(x)=(a+2)x^2+6x+5a
Compare p(x) with ax^2+bx+c=0
a=(a+2),b=6,c=5a
i) product of the zeroes=c/a
p*1/p=5a/(a+2)
a+2=5a
2=4a
a=1/2
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