Adds Up

Adds Up

What times what equals 48 and adds up to -14?

X+Y = -14  equation 1
XY = 48  equation 2
For finding the value of x
X = -Y -14  equation 3

Putting the value of X in equation 2

(-Y – 14)Y = 48
-Y (Y + 14) = 48
Y2 + 14Y = -48
Y2 + 14Y + 48 = 0

By following Sridhacharya formula-

Y = {-14 ± √ (142 – 4 * 1 * 48)}/2
Y = (-14 ± √4)/2 
Therefore, Y = (-14 ± 2)/2
Therefore, X = - [(-14 ± 2)/2] -14
There is no definite answer for this sum. 

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