1/(4R-8)=R-2

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Solution for 1/(4R-8)=R-2 equation: 


D( R )

4*R-8 = 0

4*R-8 = 0

4*R-8 = 0

4*R-8 = 0 // + 8

4*R = 8 // : 4

R = 8/4

R = 2

R in (-oo:2) U (2:+oo)

1/(4*R-8) = R-2 // - R-2

1/(4*R-8)-R+2 = 0

1/(4*R-8)+(-R*(4*R-8))/(4*R-8)+(2*(4*R-8))/(4*R-8) = 0

2*(4*R-8)-R*(4*R-8)+1 = 0

8*R-4*R^2+8*R-16+1 = 0

16*R-4*R^2-15 = 0

16*R-4*R^2-15 = 0

16*R-4*R^2-15 = 0

DELTA = 16^2-(-15*(-4)*4)

DELTA = 16

DELTA > 0

R = (16^(1/2)-16)/(-4*2) or R = (-16^(1/2)-16)/(-4*2)

R = 3/2 or R = 5/2

(R-3/2)*(R-5/2) = 0

((R-3/2)*(R-5/2))/(4*R-8) = 0

((R-3/2)*(R-5/2))/(4*R-8) = 0 // * 4*R-8

(R-3/2)*(R-5/2) = 0

( R-3/2 )

R-3/2 = 0 // + 3/2

R = 3/2

( R-5/2 )

R-5/2 = 0 // + 5/2

R = 5/2

R in { 3/2, 5/2 }

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