The sum of two integers is - 5. the product of the same two integers is - 36. what

Hey there!!

Given :

Sum of two integers = -5 and the product is -36.

Hence,

... x + y = -5

... xy = -36

x + y = -5

... y = -x - 5

xy = -36

...x ( -x - 5 ) = -36

... -x² - 5x = -36

... x² + 5x - 36 = 0

This can't be factored so solve using quadratic equation

x = [-b ±√(b2-4ac)]/2a      a=1, b=5, c = -36

x = [-5±√(52-4(-36))]/2

x = [-5 ±√169]/2

x = (-5 ± 13)/2

x = (-5+13)/2= 8/2 = 4  OR

x = (-5-13)/2 = -18/2 = -9

x = 4, -9

Note here that since x+y=-5

For x=4, y=-9

for x = -9, y = 4

The two numbers are 4, -9

Hope my answer helps!!