Question

Write two numbers that multiply to the value on top and add to the value on the bottom

Answer 1

The required numbers that complete the expression can be expressed in the equation as;

-14 * 5 = -70

-14 + 5 = -9

How can this number be determined?

Any mathematical statement that consists of numbers, variables, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the formula 4m + 5 consists of the words 4m and 5, as well as the variable m, which is divided by the arithmetic symbol +.

Based on the provided information

a * b = -70

a + b = -9

a = -9 - b

b(-9 - b) = -70

`-b^2 - 9b + 70 = 0`

Then factorize

(-b + 5)(b + 14) = 0

-b + 5 = 0

5 = b

b + 14 = 0

b = -14

Then the numbers are -14 and 5

Answer 2

a * b = -70
a + b = -9......a = -9 - b

b(-9 - b) = -70
-b^2 - 9b + 70 = 0
(-b + 5)(b + 14) = 0

-b + 5 = 0
5 = b

b + 14 = 0
b = -14

ur numbers are -14 and 5

-14 * 5 = -70
-14 + 5 = -9