Let x and y be the unknowns. Based on the given problem, we have:
x + y = -19 [The sum of two numbers is -19]
xy = 24 [The product of two numbers is 24]
Solve for these numbers either by elimination or substitution method. The recommended choice is substitution method.
Solve for y for the second equation:
y = 24/x
Substitute that expression for the first equation:
x + (24/x) = -19
Solve for x by rearranging the terms:
x² + 24 = -19x [Multiply both sides by x]
x² + 19x + 24 = 0
Since the expression can't be factored, you don't get integers for x and y. Let's complete the square, and see what we have:
x² + 19x + (19/2)² = -24 + (19/2)²
(x + (19/2))² = 66.25
x + (19/2) = ±√(66.25) or ±√(265/4)
x + (19/2) = ±√(265)/2
x = (-19 ± √(265))/2
Finally, substitute that value back for either of the equation and solve for y. You should get:
y = ±24/((-19 ± √(265))/2)
= ½(-19 ∓ √265)
So the numbers are:
x = ½ * (-19 - √265) and y = ½ * (√265 - 19)
y = ½ * (√(265) - 19) and y = ½ * (-19 - √265)
To get from 5 to 24, you can add 19 (5 + 19 = 24). Alternatively, you could multiply 5 by 4.8 (5 × 4.8 = 24) or use a series of steps like adding 10 to reach 15, then adding 9 to get to 24.
To calculate the number of hours in 19 days, you would multiply the number of hours in a day (24 hours) by the number of days (19). This would result in 456 hours (24 hours/day x 19 days = 456 hours).
To find the mean of a set of numbers, you add up all the numbers and then divide the sum by the total count of numbers. Therefore, the mean of 19, 20, 24, 28, and 29 is (19 + 20 + 24 + 28 + 29) / 5 = 24.
The two numbers that add to give you 25 and multiply to give you 26 are 24 and 1. When you add 24 and 1, you get 25, and when you multiply them, you get 26.
30
-101
24 for each number you add 5 and then subtract 2. 19 plus 5 is 24.
-19
25
To calculate the number of hours in 19 days, you would multiply the number of hours in a day (24 hours) by the number of days (19). This would result in 456 hours (24 hours/day x 19 days = 456 hours).
28
-38
To find the mean of a set of numbers, you add up all the numbers and then divide the sum by the total count of numbers. Therefore, the mean of 19, 20, 24, 28, and 29 is (19 + 20 + 24 + 28 + 29) / 5 = 24.
The two numbers that add to give you 25 and multiply to give you 26 are 24 and 1. When you add 24 and 1, you get 25, and when you multiply them, you get 26.
To convert a fraction to a percentage multiply by 100: 19/24 = 19/24 x 100 % = 791/6 % ≈ 79.167 %
-14
30