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Levart [38]
3 years ago
9

If the difference of two numbers is 7 and their product is 60, what are they?

Mathematics
1 answer:
user100 [1]3 years ago
4 0
X - y = 7.....x = y + 7
x * y = 60

y(y + 7) = 60
y^2 + 7y = 60
y^2 + 7y - 60 = 0
(y + 12)(y - 5) = 0

y + 12 = 0
y = -12....not this one because it is negative

y - 5 = 0
y = 5 <===

x - y = 7
x - 5 = 7
x = 7 + 5
x = 12 <==

so ur 2 numbers are 12 and 5
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Factor out the Greatest Common Factor (GCF), '2'.
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Ignore the factor 2.
Subproblem 1:

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
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Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
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Set the factor '(9 + -1x)' equal to zero and attempt to solve:

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9 + -1x = 0

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Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
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