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One number is 2 greater than another. The product of the numbers is 63. Find the numbers.
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Answer. a) 7 and 9; b) -9 and -7.
Solution
x*(x+2) = 63,
x^2 + 2x -63 = 0,
Factor left side
(x+9)*(x-7) = 0.
The roots are
a) x = 7. Then x+2 = 9.
or
b) x = -9. Then x+2 = -7.
Solved.