ok this is a question in some algebra assignment. it's drivin' me kinda crazy and nobody will even help in university. this should be easy to solve for some of you i know. keep in mind that K1 K2 and K3 and M1 and M2 are all constants that are always positive. K stands for constant of as spring and M is the mass i belive, so they are all positive values. here is the question: ---------- SHOW THAT X1 AND X2 (two possible values of x to solve the equation) ARE BOTH DISTINCT AND NEGATIVE: ( X + (K1 +K2)/M1 ) * ( x + (K2 + K3)/m2) - ( -K2/M1) * (-K2/M2) =0 ---------------------- i simplified it (assumin i made no mistakes) and got : x^2 (M1)(M2) + x ( (K1+K3)(M1) + (K1+K2)(M2) ) + (K1)(K2)+ (K1)(K3) +(K2)(K3) =0 ------------ well since all the m's and k's are positive, it's easy for me to prove to him that the x values have to always be negative. i can do this with a statement or whatever. BUT, i'd like to find the values of x (there are two and they are both negative) because it will help me for the later questions. so if anyone knows how to do that, i'd greatly appreciate it.