1. What two numbers can be multiplied to equal -60 and added to be -11?
2. What two numbers can be multiplied to equal -36 and added to be -16?
3. What two numbers can be multiplied to equal 10 and added to equal -7?
Thanks
1.
-15 + 4
Factor the other sets of numbers to find the answers.
2.
-18 + 2
3.
(-5)-(-2)
3.
-5 + -2
To find two numbers that satisfy the given conditions, we can use a trial-and-error approach. Let's go step by step:
1. What two numbers can be multiplied to equal -60 and added to be -11?
To solve this, we need to find two numbers that satisfy the equation xy = -60 and x + y = -11. We can start by listing the factors of -60:
-60 = (-1) * 60
= (-2) * 30
= (-3) * 20
= (-4) * 15
= (-5) * 12
= (-6) * 10
Next, we need to check if any of these factor pairs also add up to -11. By trying different combinations of the factors, we find that -5 and -6 satisfy both conditions:
-5 * -6 = 30, and -5 + (-6) = -11.
Therefore, the two numbers are -5 and -6.
2. What two numbers can be multiplied to equal -36 and added to be -16?
Following the same approach, we list the factors of -36:
-36 = (-1) * 36
= (-2) * 18
= (-3) * 12
= (-4) * 9
= (-6) * 6
By trying different factor pairs, we find that -4 and -12 satisfy both conditions:
-4 * -12 = 48, and -4 + (-12) = -16.
Therefore, the two numbers are -4 and -12.
3. What two numbers can be multiplied to equal 10 and added to equal -7?
Again, we list the factors of 10:
10 = 1 * 10
= 2 * 5
However, none of these factor pairs add up to -7, so there are no two numbers that satisfy both conditions in this case.
In summary:
1. The two numbers that can be multiplied to equal -60 and added to be -11 are -5 and -6.
2. The two numbers that can be multiplied to equal -36 and added to be -16 are -4 and -12.
3. There are no two numbers that can be multiplied to equal 10 and added to equal -7.