If one number is -11 then the other number is -6 and if one number is 6 then another number is 11.
Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
One number exceeds another by five and their product is 66.
Let one number be x.
Then another number is x + 5.
Then their product is 66. That can be written as
(x)(x + 5) = 66
x² + 5x - 66 = 0
On factorizing, we have
x² + 11x -6x - 66 = 0
x (x + 11) - 6 (x + 11) = 0
(x + 11)(x - 6) = 0
x = 6, -11
Then the values of x are -11 and 6.
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