## anonymous 5 years ago (1/x-1)+(1/x-12)=5/4

(1/x-1)+(1/x-12)=5/4 we multiply x-12/x-12 to (1/x-1) and x-1/x-1 to (1/x-12) this is possible since x-12/x-12 and x-1/x-1are both equal to 1 (1/x-1)(x-12/x-12) + (1/x-12)(x-1/x-1) = 5/4 (x-12/x-1*x-12) + (x-1/x-1*x-12) = 5/4 since the denominators are equal we add the numerators x-12+x-1/x-1*x-12=5/4 $2x-13/x ^{2}-13x+12$ =5/4 then we cross multiply, 4(2x-13)=5($x ^{2}-13x+12$) 8x-52 = $5x ^{2}-65x+60$ $5x ^{2}-65x+60$-8x+52= 0 $5x ^{2}-73x+112$ = 0 in a quadratic equation in the form $ax ^{2}+bx+c=0$.$(-b \pm \sqrt{b ^{2}-4ac})\div2a$ gives the two solutions of x. if you solve the formula the two solutions are 12.85 and 1.74 (you can try it out in a calculator) hope this helps