Solve for x x212x22x102Solutionx212x22x102 x2 12x2 2102 tak

Solve for x:

x^2/(1-2x)^2=2x10^-2

x^2/( 1-2x)^2 = 2*10^-2

take square root on both sides:

x/( 1-2x) = sqrt(2)*10^-1

x/(1-2x) = sqrt2/10

10x = (1-2x)sqrt2

x(10 +2sqrt2) = sqrt2

x = sqrt2/(10+ 2sqrt2)

rationalise denominator :

x = sqrt2( 10 -2sqrt2)/(100 - 8)

=(10sqrt2 - 4)/92

x = (4sqrt2 - 2)/46