0
Let the numbers be x and y. So we have,
xy = 135
x + y = 42, which yield y = 42 - x (use substitution method to solve the linear system of the equations)
xy = 135 (substitute y by 42 - x)
x(42 - x) = 135
42x - x2 = 135 (subtract 135 to both sides)
42x - x2 - 135 = 0 (multiply by -1 to both sides)
x2 - 42x + 135 = 0 (use the quadratic formula to solve for x)
x = [-(-42) ± √[422 - 4(1)(135)]]/2(1)
x = [42 ± √(1,764 - 540)]/2
x = (42 ± √1,224)/2
x = 42/2 ± (√1,224)/2
x = 21 ± √1,224/4 = 21 ± √306
x ≈ 21 ± 17.5
x ≈ 21 + 17.5 or x ≈ 21 - 17.5
x ≈ 38.5 or x ≈ 3.5
y = 42 - x (replace x with 38.5 or 3.5)
y = 42 - 38.5 = 3.5, so that
y = 3.5 or y = 38.5
Thus, the numbers are approximately to 38.5 and 3.5
Add your answer:
Earn +20 pts
What two numbers multiply to make 135?
To answer this question you first need to break 135 down into its prime factors: 135 = 3x3x3x5 In order to find two numbers that multiply to make 135, one of them must be a product of a certain combination of these numbers (and 1) and the other must have the rest. Therefore the possible pairs are: 1 and 135 3 and 45 5 and 27 9 and 15
How do you find the product of two numbers do you add them together or multiply?
Product = multiply.
What two whole numbers have the sum of 6 and a product of -135?
141
What two numbers can add up to 26 and multiply to 315?
341
What are two consecutive numbers that equal 102?
There are no two consecutive numbers that add or multiply to 102.
What two numbers multiply to be 135 but add to be 6?
There are no such numbers but if you meant -135 then the numbers are -9 and 15
What two numbers multiply to 135 and add up to 6?
141
What are two numbers that add up to -24 and multiply to 135?
111
What to numbers multiply to -135 and add to -12?
-147
What numbers multiply into 150 and add to -19?
To solve this problem, we are looking for two numbers that multiply to 150 and add to -19. Let’s break it down: Product of the two numbers: The two numbers should multiply to give 150. Sum of the two numbers: The same two numbers should add up to -19.
What two numbers multiply to make 135?
To answer this question you first need to break 135 down into its prime factors: 135 = 3x3x3x5 In order to find two numbers that multiply to make 135, one of them must be a product of a certain combination of these numbers (and 1) and the other must have the rest. Therefore the possible pairs are: 1 and 135 3 and 45 5 and 27 9 and 15
What two numbers will multiply to 5 and add to 4?
There are no two real numbers that do, but the complex numbers (2 + i) and (2 - i) will.If you want two numbers that multiply to negative 5 and add to positive 4 then: -1 and 5If you want two numbers that multiply to negative 5 and add to negative 4 then: 1 and -5
What 2 numbers multiply to -72 but add to -29?
The two numbers that multiply to -72 and add to -29 are approximately 3.57 and -32.57.
What two numbers can you multiply and get 216 and then add the same numbers and get 15?
Let's denote the two numbers as x and y. We have the equations xy = 216 and x + y = 15. By solving these equations simultaneously, we can find that the numbers are 9 and 24. This is because 9 multiplied by 24 equals 216, and 9 plus 24 equals 15.
What numbers multiply to 24 and add to -10?
14
What two numbers add to -17 and multiply to 30?
The two numbers are -2 and -15
What two numbers multiply together to equal -9 and add together to equal -8?
-17
