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Let's call them x and y. x+y=6,xy=7. So, y=6-x and xy=7. We subsitute 6-x for y and get x(6-x)=7. Distribute x. 6x-x2=7. Subtract 7 from both sides. -x2+6x-7=0.

Use the Quadratic Formula: x=(-b+or-sqrt(b2-4ac))/2a. Plug in and solve. Your 2 answers are -6+or-sqrt(8)/-2.

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Q: What two numbers add up to make six and multiply to make 7?
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