Question

write a pair of integers whose product is 36 and their sum is -13

Answer 1

Answer:

The pair of integers are (-9,-4) and (-4,-9).

Step-by-step explanation:

Given : A pair of integers whose product is 36 and their sum is -13.

To find : The pair of integers?

Solution :

Let x and y a pair of integers.

Product of integers is 36.

i.e, $xy=36$ .....[1]

Sum of integers is -13

i.e, $x+y=-13$ .......[2]

Substitute the value of x from [1] in [2]

$\frac{36}{y}+y=-13$

$36+y^2=-13y$

$y^2+13y+36=0$

$y^2+9y+4y+36=0$

$y(y+9)+4(y+9)=0$

$(y+9)(y+4)=0$

$y=-9,-4$

Substitute the value in [1]

Now, For y=-9

$-9x=36$

$x=-4$

For y=-4

$-4x=36$

$x=-9$

Therefore, The pair of integers are (-9,-4) and (-4,-9).