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(1/2)*(x-5)+(7/6)*(x-1) = (1/5)*(x*x-9) // - (1/5)*(x*x-9)
(1/2)*(x-5)+(7/6)*(x-1)-((1/5)*(x*x-9)) = 0
(1/2)*(x-5)+(7/6)*(x-1)+(-1/5)*(x*x-9) = 0
1/2*(x-5)+7/6*(x-1)-1/5*(x^2-9) = 0
1/2*(x-5)+7/6*(x-1)-1/5*(x^2-9) = 0
5/3*x-1/5*x^2-11/3+9/5 = 0
5/3*x-1/5*x^2-28/15 = 0
5/3*x-1/5*x^2-28/15 = 0
5/3*x-1/5*x^2-28/15 = 0
DELTA = (5/3)^2-(-28/15*(-1/5)*4)
DELTA = 289/225
DELTA > 0
x = ((289/225)^(1/2)-5/3)/(-1/5*2) or x = (-(289/225)^(1/2)-5/3)/(-1/5*2)
x = 4/3 or x = 7
(x-4/3)*(x-7) = 0
(x-4/3)*(x-7) = 0
( x-4/3 )
x-4/3 = 0 // + 4/3
x = 4/3
( x-7 )
x-7 = 0 // + 7
x = 7
x in { 4/3, 7 }
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