1)5x2 + 16x + 7 = 0 2) 5x2-16x + 7 = 0The eequation x2 + ax-b = 0 is1)

1.	1)5x2 + 16x + 7 = 0 2) 5x2-16x + 7 = 0The eequation x2 + ax-b = 0 is1) x2-bx + a = 03) 2ax" + (a,-8b)x-4ab = 05,n whose roots are the A.M and twice the H.M.between the roots of the4) 2ax2-86x-4ab = 0andisre
Answer» Let A and B are the roots of given equation .A + B = -(a)/1 = -a AB = -c/1 = -bnow , AM = ( A + B)/2 = (-a)/2 and HM = 2AB/(A + B)= 2(-b)/(-a) = 2b/a now, a/c to question , AM and 2HM are the roots of unknown equation .so, x² -(AM +2HM)x +2(AM).(HM) =0x²-(-a -2b)x +2(-a)(-b) =0x² +(a +2b)x +2ab =0

1)5x2 + 16x + 7 = 0 2) 5x2-16x + 7 = 0The eequation x2 + ax-b = 0 is1) x2-bx + a = 03) 2ax" + (a,-8b)x-4ab = 05,n whose roots are the A.M and twice the H.M.between the roots of the4) 2ax2-86x-4ab = 0andisre

Answer»

Let A and B are the roots of given equation .A + B = -(a)/1 = -a AB = -c/1 = -bnow , AM = ( A + B)/2 = (-a)/2

and HM = 2AB/(A + B)= 2(-b)/(-a) = 2b/a

now, a/c to question , AM and 2HM are the roots of unknown equation .so, x² -(AM +2HM)x +2(AM).(HM) =0x²-(-a -2b)x +2(-a)(-b) =0x² +(a +2b)x +2ab =0