It is known that the two of the equations x + MX-3 = 0 about X are x 1, x 2, and the absolute value of X 1-x 2 = 4 to find the value of M

It is known that the two of the equations x + MX-3 = 0 about X are x 1, x 2, and the absolute value of X 1-x 2 = 4 to find the value of M


It is known that the two of the equations x + MX-3 = 0 about X are x 1, x 2, and the absolute value of X 1-x 2 = 4 to find the value of M
From the meaning of the title, we can get the conclusion
x1x2=-3
x1+x2=-m
And the absolute value of x1-x2 = 4
Square, get
x1²-2x1x2+x2²=16
(x1+x2)²-4x1x2=16
therefore
m²+12=16
m²=4
M = 2 or - 2