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What can be added to get 10 and mulitplied to get 22 using the same numbers?
Wiki User
∙ 10y ago
This requires solving a quadratic.
Let one number be x
The other number is (10-x)
Their product is:
x(10-x) = 22
10x - x² = 22
x² -10x + 22 = 0
Now apply the quadratic formula:
b² - 4ac = 100 - 88 = 12
x = (10 ± √12)/2
since √12 = 2√3
x = 5 ±√3
So the two numbers are:
5+√3 and 5-√3
Sum is 10 (check)
Product is 25-3 = 22 (check)
Wiki User
∙ 10y ago
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