Question

If one zero of the polynomial (a+2) x² + 6x + 5a is reciprocal of the other, then find the value of ‘a’.

Answer with complete & clear steps.

Points : 15 ☺

Answer 1

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

Answer 2

Hope this helps u........