1.

Solve equation by quadratic fornula x/x-1+ x-1/x = 4

Answer»

Answer:

Step-by-step explanation:

(x/x-1)+(x-1/x)=4

x*x+(x-1)^2=4(x(x-1))

x^2+x^2-2x+1=4X^2-4x

2x^2+2x+1-4x^2=0

2x^2-2x-1=0

roots are

b^2-4ac=4+4*2=4+8=12

x1=-b+(sqrt(b^2-4ac))/2a

=2+sqrt(12)/4=2+2sqrt(3)/4=1+sqrt(3)/2

x2=-b-(sqrt(b^2-4ac))/2a

=2-sqrt(12)/4=2-2sqrt(3)/4=1-sqrt(3)/2


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