Equation with absolute value |3x-|1-2x||=2

Equation with absolute value |3x-|1-2x||=2

3x-|1-2x|=2|1-2x|=3x-21-4x+4x^2=9x^2-12x+45x^2-8x+3=0(5x-1)(x-3)=0x=1/5 x=33x-|1-2x|=-2|1-2x|=3x+21-4x+4x^2=9x^2+12x+45x^2+16x+3=0(5x+3)(x+1)=0x=-3/5 x=-1

If the equation x ^ 2 / M-Y ^ 2 / 9-m = 1 represents an ellipse, then the focal length of the ellipse is?

x^2/m+y^2/(9-m)=1
Then M > 0,9-m > 0
0

There is a solution to hyperbolic equation with common focus and passing through a fixed point by 2A = distance difference between two focal points and a known fixed point

Let x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0)
Where C ^ 2 = a ^ 2-B ^ 2
set up
Hyperbolic equation x ^ 2 / m ^ 2-y ^ 2 / N ^ 2 = 1
Over point P (E, f)
Where C1 ^ 2 = m ^ 2 + n ^ 2
Obviously, C ^ 1 = C ^ 2
And e ^ 2 / m ^ 2-F ^ 2 / N ^ 2 = 1... (2)
The values of M and N can be obtained from (1) (2)