Question 363456
let the number be x & x+7
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x^2+(x+7)^2=389
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x^2+x^2+14x+49=389
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2x^2+14x+49-389=0
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2x^2+14x-340=0
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/2
x^2+7x-170=0
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x^2+17x-7x-170=0
x(x+17)-7(x+17)=0
(x+17)(x-7)=0
x=-17 OR x=7
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The numbers are -17,-10

7,14 does not satisfy the equation
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m.ananth@hotmail.ca