Question

can find
two integers whose sum is -12 and product is 35

Answer 1

Let two integers be x and y

Therefore,

x+y=-12

xy=35

Now,

x+y=-12

y=-12-x

Substitute y=-12-x in xy=35

x(-12-x)=35

-12x-x^2 = 35

Transfer all towards right side

x^2 + 12x + 35 =0

Now solve this equ.

x^2 + 5x + 7x + 35 = 0

x(x+5) + 7(x+5)=0

(x+7)(x+5)=0

x=-7 or x=-5

Now you can check the value by substituing the value

Hope you will understand

Follow me