Question

One root of the equation
x2-2 (5+m) x+3 (7+m)=0 is reciprocal
of the other. Find the value of m.​

Answer 1

HERE IS UR ANSWER DEAR,

equation will be

x² -2(5+m) x+ 3(7+m) = 0

x² -(10 +2m)x + (21 + 3m )= 0

sun of roots = m+ (1/m) = -b/a= -(-10-2m)/1

m²+ 1 /m = 10+2m

m² +1 = 10m +2m²

m² +10m -1 = 0

by factorising ,

u can get the answer