for what value of 'a' the roots of the equation 2x²+6x+a=0 ,satisfy the condition (alpha/beta)+beta/alpha)<2 {where alpha and beta are the roots of the equation
Matematika
kunal1
Pertanyaan
for what value of 'a' the roots of the equation 2x²+6x+a=0 ,satisfy the condition (alpha/beta)+beta/alpha)<2
{where alpha and beta are the roots of the equation}
{where alpha and beta are the roots of the equation}
1 Jawaban
-
1. Jawaban nasril8
A/B + B/A < 2
( A^2 + B^2 ) / AB < 2
{ ( A + B )^2 - 2AB } / AB < 2
{ (-6/2)^2 -2(a/2) } / a/2 < 2
( 9 - a ) / (a/2) < 2
2(9-a) < 2a
18- 2a < 2a
18 - 2a - 2a < 0
18 -4a < 0
-4a < -18
a > 9/2