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Which two numbers will add up to 2 and when multiply gives us -280?
Devashti Davis
Let the numbers be 'm' & 'n'
Hence
m + n = 2
mn = - 280
It follows that m = 2 - n
Substitute
(2 - n)n = -280
Multiply out the brackets
2n - n^2 = -280
n^2 - 2n - 280 = 0
It is now in Quadratic form. Either use the Quadratic Eq'n or 'Complete the Square'.
n^2 - 2n = 280
(n - 1)^2 - (-1)^2 = 280
(n - 1)^2 = 281
Square root both sides
n -1= sqrt(281)
n = 1 +/- sqrt(281)
lenpollock
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