Which two numbers add up to ___ and multiply to ___?

1. Multiply to -18, add to -17
2. Multiply to 36, add to -13
3. Multiply to -24, add to -5
4. Multiply to -18, add to 7
5. Multiply to -36, add to 9
6. Multiply to 24, add to 10
7. Multiply to 18, add to -9
8. Multiply to -36, add to -16

To find two numbers that add up to a given sum and **multiply **to a given product, we can use a system of equations. Let's solve each problem step by step. ;

Answered by NormanReedus | 2024-06-18

1. multiply to -18 add to -17 = Multiplying -18 and 1 will give -18 as the result and then on adding -18 and + 1 the result comes to -17 2. multiply to 36 add to -13 = Multiplying -9 and -4 will give -36 as the result and then on adding -9 and -4 the result comes to -13 3. multiply to -24 add to -5 = Multiplying -8 and +3 will give -24 as the result and then on adding -8 and +3 the result comes to -5 4. multiply to -18 add to 7= Multiplying +9 and -2 will give -18 as the result and then on adding +9 and -2 the result comes to 7

multiply to -36 add to 9= Multiplying +12 and -3 will give -36 as the result and then on adding +12 and -3 the result comes to 9 6. multiply to 24 add to 10= Multiplying +6 and +4 will give 24 as the result and then on adding +6 and +4 the result comes to 10 7. multiply to 18 add to -9= Multiplying -6 and -3 will give -18 as the result and then on adding -6 and -3 the result comes to -9 8. multiply to -36 add to -16 = Multiplying -18 and +2 will give -36 as the result and then on adding -18 and +2 the result comes to -16

Answered by taskmasters | 2024-06-24

To find two numbers that add up to a specific sum and multiply to a specific product, set up a quadratic equation based on the relationships between addition and multiplication. Then, use the quadratic formula to solve for the numbers. This method can be applied to multiple cases provided.
;

Answered by taskmasters | 2024-09-30