CBSE Class 10 Answered
if one zero of p(x)=(a square+4)x square+13x+4a is the reciprocal of the other then find the value of a
Asked by sanjaypadmanabhan99 | 03 Apr, 2014, 12:24: PM
Expert Answer
let the zeros be alpha and beta then for equation
ax2 + bx + c = 0
beta = 1/alpha (given)
alpha + beta = -b/a = alpha + 1/alpha
= alpha2 + 1 / alpha
alpha x beta = c/a = alpha x 1/alpha
= 1
by comparision c = a
a2 + 4 = 4a
a2 + 4 - 4a = 0
(a+2)2 = 0
then a = -2
Answered by | 03 Apr, 2014, 12:50: PM
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