TS EAMCET 19-July-2022 Shift 1 Solved Paper

Let a1,a2,a3,a4 and a5 are the roots of
x5−ax4+bx3−cx2+dx−1=0
If AM and GM of a1,a2,a3,a4 and a5 are equal, then
a1=a2=a3=a4=a5=1
Sum of roots =‌5C1=5
∵‌‌a=5
Sum of roots taken 2 at a time =‌5C2=10
∴‌‌b=10
Sum of roots taken 3 at a time =‌5C3=10
∴‌‌c=10
Sum of roots taken 4 at a time =‌5C4=5
∴‌‌d=5
Hence, a+b+c+d=5+10+10+5=30