Hello everyone,

I have an exam in a few days and i was studying by going through previous year exams. I stumbled upon this one exercise that had the teacher's correction attached to it, and i have been struggling to understand it for the past hour and a half.

I apologize in advance as the exercise is in french but there is only one relevant sentence here which is the one in blue and it translates to : "Solving the equation gives us"

I am struggling to understand how she goes from the X/(1-2x)^2 = 8.14e99 form, to the X^2-22.4X+5.6=0 form. I tried doing the exercise by turning the K constant into an "a" factor and solving the quadratic equation along with that, but the result it gave me was X=0.25 at the end which does not seem correct. And even after trying my best in every way i can imagine, i simply can't seem to find the same equation, and subsequently, the same answer as her.

Is her correction just plain wrong ? ( that could be a possibility as she has probably given us more misleading corrections this year than correct ones) Or am i missing something obvious here ?

Many thanks in advance for any potential help or answers !