Question

Find a pair of integers whose product is -15 And whose difference is -8​

Answer 1

Answer:

x = -3          ;           x = -5

y = 5           ;           y = 3

Step-by-step explanation:

Let that two inters be x and y

According to question,

xy = -15     (i)

x - y = -8   (ii)

x - y = -8

y = x + 8   (iii)

Using (i) and (iii),

xy = -15

x(x + 8) = -15

x² + 8x + 15 = 0

x² + 3x + 5x + 15 = 0

x(x + 3) + 5(x + 3) = 0

(x + 3)(x + 5) = 0

x + 3 = 0        ;       x + 5 = 0

x = -3          ;           x = -5

y = x + 8                 y = x + 8

y = -3 + 8                y =-5 + 8

y = 5            ;           y = 3