It is known that the square of the reciprocal sum of two unequal real number roots of the equation m + X + (M-3) x + 1 = 0 is equal to 25, and the value of M is obtained

It is known that the square of the reciprocal sum of two unequal real number roots of the equation m + X + (M-3) x + 1 = 0 is equal to 25, and the value of M is obtained

(1/x1+1/x2)^2=25
(x1+x2)/x1x2=±5
m^2x^2+(m-3)x+1=0
x1+x2=(3-m)/m^2
x1x2=1/m^2
(x1+x2)/x1x2=3-m=±5
m=-2 m=8
b^2-4ac=(m-3)^2-4m^2=-3(m+3)(m-1)>0
-3

Elden Ring Premiere

RELATED INFORMATIONS