Let the two numbers be a and b. Then,
ab = 72 therefore b = 72/a. Substituting for b in a + b = -19 gives,
a + 72/a = -19 : multiply both sides by a.
a2 + 72 = -19a : therefore a2 + 19a + 72 = 0
Solving for a quadratic equation gives,
a = [-19 ± √(361 - 288)] ÷ 2 which simplifies to a = -9.5 ± 4.272 (3dp)
The two numbers are therefore -9.5 + 4.272 = -5.228 and -9.5 - 4.272 = -13.772
89
There are an infinite number of real numbers that multiply to get 72.
24 & 3
Two numbers that you can multiply together to get 72 are: 36 and 2.
-73
The numbers that multiply to 72 and add to -17 are -8 and -9. When you multiply -8 and -9, you get 72, and when you add them together, you get -17.
The two numbers that multiply to -72 and add to -29 are approximately 3.57 and -32.57.
The factor pairs of 72 are (72,1)(36,2)(24,3)(18,4)(12,6)(9,8) None of them total 19.
The two numbers that add to 38 and multiply to give 72 are 36 and 2. When you add them together, 36 + 2 equals 38, and when you multiply them, 36 × 2 equals 72.
42
The two numbers are... -36 and -36
89
The two numbers that add to 0 but multiply to -72 are 8 and -8. When you add them together, 8 + (-8) equals 0. When you multiply them, 8 × (-8) equals -64, which is incorrect. The correct numbers are 6 and -6, which also don't satisfy the multiplication requirement. The numbers that fit the criteria should be 8 and -8.
There are an infinite number of real numbers that multiply to get 72.
24 & 3
-498
-936