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If the sum of two numbers is 17 and the sum of their square is 145 - what is the larger number?
This information gives us the equations: x + y = 17 x2 + y2 = 145 These equations are more difficult to solve. The solution to the equations is below. Possibly easier (at least with this specific question) is guessing and checking. The answers are 8 and 9. To check: 8 + 9 = 17 64 + 81 = 145 === === The equations we have are: x + y = 17 x2 + y2 = 145 Lets substitue by using the first equation: x = -y + 17 plug that in: (-y + 17)2 + y2 = 145 Now simplify: y2 - 34y + 289 + y2 = 145 Simplify a little more: 2y2 - 34y + 289 = 145 Create a quadratic equation: 2y2 - 34y + 144 = 0 Factor the polynomial (or use the quadratic formula): (y - 9)(2y - 16) = 0 So either: y - 9 = 0 so y = 9, Or 2y - 16 = 0 so y = 8. Note: Because both equations are symmetric (meaning x and y can be switched without changing anything, like x + y = 17 is the same as y + x = 17), we know that x and y are each either 8 or 9. Either way the answers are 8 and 9. Plug these into the original equations and they work. Otherwise, just plug the y values into the easiest equation to solve for x. So x + 8 = 17 so x = 9. The other option is x + 9 = 17 which leads to x = 8. The answers are (8,9) and (9,8). Either way, the two numbers to fill the requirements are 8 and 9.
What else can I help you with?
Is 145 a square number?
no
What two numbers multiply to 120 and add up to 25?
145
What two numbers when multiplied equal 145?
what numbers that can be multiplied and result to 145?
What is the square root of 145?
The square root of 145 is about 12.04 (just above the integer square of 12).
What are strong numbers between 100 and 1000?
The sum of the factorials of digits of a number is equal to the original number. Ex: n=145=> 1! + 4! + 5! = 1 + 24 + 120 = 145
The sum of two numbers is 17 and the sum of their square is 145 What is the larger number?
9 (81 + 64 = 145)
Is 145 square?
Yes, in so far as all numbers are squares (of some number). But it is not a perfect square.
Is 145 a square number?
no
Is 145 a triangle number?
No. The closest triangle numbers to 145 are 136 and 153.
Is the square root of 145 a rational number?
No.
The sum of the two numbers is 29 and the difference of their square is 145 The difference between the numbers is?
5
Is 145 an even or odd number?
145 is an odd number. All whole numbers ending in five are odd.
What number times a number equals 145?
To find the number that, when multiplied by another number, equals 145, you would divide 145 by the other number. In this case, if we are looking for a whole number solution, the factors of 145 are 1, 5, 29, and 145. Therefore, the pairs of numbers that multiply to 145 are (1, 145) and (5, 29).
What number is larger 0.098 or o.145 or o.109?
0.145 is the largest number
What two numbers multiply to 120 and add up to 25?
145
If the sum of two numbers is -2 and one of the numbers is -145 what is the other?
143
What is the mean for 100 145 124 136 145 130?
130 add up numbers (780) divide by number of numbers you added (6)
