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
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
Product = multiply.
341
There are no two consecutive numbers that add or multiply to 102.
34
There are no such numbers but if you meant -135 then the numbers are -9 and 15
141
111
-147
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.
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
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
45
The two numbers that multiply to -72 and add to -29 are approximately 3.57 and -32.57.
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14
The two numbers are -2 and -15