SOLUTION: what two numbers multiply to -240 and add to +34

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Question 722560: what two numbers multiply to -240 and add to +34
Answer by god2012(113) About Me  (Show Source):
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Solution:
Let 'a' and 'b' are the 2 numbers.
Given : a * b = -240 --------eq.1
a + b = 34 or b = 34 - a --------eq.2
Put 2 in 1, we get
a (34 - a ) = -240
34a - a^2 + 240 = 0
a%5E2+-+34+a+-+240+=+0+
Solving the quadratic equation
a%5E2+-+40a+%2B+6a+-+240+=+0
+a%28a-40%29+%2B6%28a+%2B+40%29+=+0
%28a-40%29%28a%2B6%29=0
a = 40 or a = -6
b = -6 or 40