Question

solve this qùestion:-the sum of two numbers is -15 and their product is 56. find these numbers

Answer 1

Let the numbers be X and Y
if X = -7 and Y = -8
sum = -7 + -8 = -15
product = -7 x -8 = 56.
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Answer 2

Let two numbers be 'x and 'y'.

According to the question,

x + y = -15

=> x = -15 - y. ... equation 1

and

xy = 56. ... equation 2

Putting the value of x in equation 2

=> (-15 - y)y = 56

=> -15y - y² = 56

=> y² + 15y + 56 = 0

=> y² + 7y + 8y + 56 = 0

=> y(y + 7) + 8(y + 7) = 0

=> (y + 7)(y + 8) = 0

=> y = -7 or -8

When y = -7 then,

=> x - 7 = - 15

=> x = -8

When y = -8 then,

=> x - 8 = -15

=> x = -7