If the difference of two numbers is 10 and their product is 12 what is the sum of their squares

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If the difference of two numbers is 10, and their product is 18, what is the sum of their squares? : "if the difference of two numbers is 10" x - y = 10 : "their product is 18 x*y = 18 : FInd the numbers, worry about the sum of their squares later: From the 1st equation: x = y + 10 : Substitute (y+10) in the 2nd equation: (y+10) * y = 18 y^2 + 10y - 18; : No integer solution: Using quadratic formula, the positive solution: y = + 1.557438524 Then x = 11.557438524 :

On a good calculator: 1.557438524^2 + 11.557438524^2 = 136