How does the x value in the same triangle have different correct answers from different ways to solve
At school we are taking similarity, and we had this question (the one done on the board) and we got x= 2.618 and x=0.382 using similarity + pythagorus + quadratic formula. I substituted answers into the triangle and i got it as correct .
I showed this to my brother and he re-did it with only phythagorus theorem + quadratic equation (the one hand drawn) and got x= 10.9 and x=0.0916. Substituted it into the triangle and got it correct..
So are there infinite values of x? How did the 2 ways with different final answers still be correct?..
Im still in grade 10 so my knowledge is limited
Also not sure if its the correct flair so if it isnt im sorry
Edit: i did a mistake in the expansion for the (4x-1)^2 and infact the answers here and there are the same