We know the equation x & # 178; - 2mx-2m-4 = 0 about X. when we prove the value of M, the sum of squares of the two equations is equal to 7

We know the equation x & # 178; - 2mx-2m-4 = 0 about X. when we prove the value of M, the sum of squares of the two equations is equal to 7

Let two be a and B
According to the relationship between the root and the coefficient, there are:
a+b=2m
ab=-2m-4
The sum of the squares of two equals seven
∴a²+b²=7
(a+b)²-2ab=7
(2m)²-2(-2m-4)=7
4m²+4m+8=7
4m²+4m+1=0
(2m+1)²=0
m=-1/2
When m = - 1 / 2,
The sum of the squares of the two equations equals 7