Question

Find two integers whose product is 36 and whose sum is 13

Answer 1

The two integers are 18 and -2.

I have attached a pic of the solution.

Hope this helps

Attachment

Answer 2

Solution :-

As condition provided :-

• Sum of Integers = 13

• Product of Integers = 36

Let the Integers be x and 13-x

Now as product = 36

=> x (13 - x) = 36

=> 13x - x² = 36

=> 0 = x² - 13x + 36

=> x² - 13x + 36 = 0

Now we will solve the Quadratic equation.

=> x² - 13x + 36 = 0

=> x² - 4x - 9x + 36 = 0

=> x(x - 4) -9(x - 4) = 0

=> (x - 4)(x - 9)

So Value of x = 4 , 9

Now when

x = 4

13- x = 9

When

x = 9

13 - x = 4