It is known that the equation M & # 178; X & # 178; + (2m + 3) x + 1 = 0 about X has two reciprocal roots, so we can find the value of real number M

It is known that the equation M & # 178; X & # 178; + (2m + 3) x + 1 = 0 about X has two reciprocal roots, so we can find the value of real number M

Let the roots of the equation be x1, x2
Then X1 + x2 = - (2m + 3) / m ^ 2
x1*x2=1/m^2=1
So m = 1 or - 1
Substituting M = - 1, the equation has no root
So m = 1