What two numbers multiply to 42 and add to 3
To find two numbers that multiply to 42 and add to 3, we can use a technique called "factoring". Let's start by listing all the factor pairs of 42:
1 and 42
2 and 21
3 and 14
6 and 7
Out of these, we need to find the pair that adds up to 3. The pair that satisfies this condition is 3 and 14. Therefore, the two numbers are 3 and 14.
To find two numbers that multiply to 42 and add to 3, we can use a systematic approach:
Let's assign the numbers we are looking for as x and y. According to the given information, we have two equations:
1) x * y = 42
2) x + y = 3
We can solve this problem using the substitution method:
From equation 2, we know that x = 3 - y.
Now we will substitute this expression for x in equation 1:
(3 - y) * y = 42
Expanding this equation gives: 3y - y^2 = 42
Rearranging the equation to a quadratic form: y^2 - 3y + 42 = 0
Now we can solve this quadratic equation to find the values of y:
Using factoring, we need to find two numbers whose product is 42 and whose sum is -3 (opposite of the equation).
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
After trying different combinations, we find that -6 and -7 are the numbers whose product is 42 and sum is -3.
So, y = -6 and x = 3 - (-6) = 3 + 6 = 9.
Therefore, the numbers that multiply to 42 and add to 3 are 9 and -6.
Multiply by a number get 42 and +; - give 3
xy=42
x+y=3
There are no real solutions to this.
However, if we suppose there is a typo, note that
6*7 = 42
6+7 = 13