Question

a prduct of two no is -36 the difference is 15​

Answer 1

Step-by-step explanation:

Let the number be x and y, where x is greater than y.

Given:

x×y = -36

x-y = 15

To find:

x and y

Solution:

x-y = 15 (given)

i.e. x = 15+ y

Also it is given that,

x×y = -36

Substituting value of x in above equation

(15+y)×y = -36

15y + y² = -36

y² + 15y +36 = 0

y² + 12y +3y +36 =0

y(y+12) +3(y+12)=0

(y+12)(y+3) = 0

y+12 = 0 or y+3=0

y= -12or y =-3

If y = -12 , then x = 15+(-12) = 3

If y = -3 , then x = 15+(-3) = 12

Thus, numbers are 3 and -12 or -3 and 12.