1. The problem statement, all variables and given/known data I'm having trouble with solving a certain form of an equation with the quadratic formula. I think I'm making a dumb mistake somewhere with my algebra, but I can't seem to find it. Solve with quadratic formula: 1/x^2=4/(0.02-x)^2 2. Relevant equations 1/x^2=4/(0.02-x)^2 3. The attempt at a solution 1/x^2=4/(0.02-x)^2 1/x^2=4/(0.0004-0.04x+x^2) (1/4)(x^2)(1/x^2)=(1/4)(x^2)(4/(0.0004-0.04x+x^2)) 1/4=x^2/(1/(0.0004-0.04x+x^2) 0.25=(x^2/0.0004)-(x^2/0.04x)+(x^2/x^2) 0.25=(2500x^2)-(25x)+1 0=(2500x^2)-(25x)+0.75 When I put this into the quadratic formula, I get an unreal solution, and I know I messed up on my algebra because when I solve the equation like this: 1/x^2=4/(0.02-x)^2 (Cross multiply) 0.0004-0.04x+x^2=4x^2 3x^2+0.04x-0.0004=0 ...I get the correct answer, which is (0.00667, -0.02). Could someone show me where I made my mistake? Thanks!