find two integers having a product of negative 15 and sum of positive 2
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Answer: -3 and 5
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Step-by-step explanation:
Let two no. be x and y
By qsn, x y = -15 ------> i
and x + y = 2 ------>ii
Now,
( x- y )^2 = (x +y )^ 2 -4xy ----> formula
= 2^ 2 - 4 * (-15)
= 4 + 60 = 64
i.e x- y = 8------>iii
so adding ii and iii eqn,
we get, 2x= 10 i.e x= 5
then, 5* y = -15
i .e y =-3
Hence x= 5 and y= -3
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