Hi

solve this by factoring

 2x^2-11x+15=0

 2x^2 -11x = -15

 2[(x-11/4)^2 - 121/4] = -15

 (x-11/4)^2 = -15/2 + 121/16 = 1/16

   x - 11/4 = ± 1/4

       x = 11/4 ± 1/4

       x = 12/4 = 3

       x = 10/4 = 5/2



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