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How many positive integer solutions are there to the equation x plus y plus z equals 17?
Wiki User
∙ 9y ago
There are 120 solutions.
Wiki User
∙ 9y ago
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Why do math problems have two answers?
Assuming that you are reffering to something like this: (x - h)(x - k) = 0 x = h, x = k This is the fundamental theorem of algebra which states that is given a polynomial (multiple terms raised to positive powers ex) x^3 + 2x + 1), then the number of solutions to that polynomial is equal to the degree (or highest exponent) in the polynomial. The factorization in the beginning was dealing with a quadratic equation - when foiled out it equals x^2 - hx - kx + hk. The highest exponent in the quadratic is two and therefore there are two solutions. You can even think back to the factorization again: if x = h then the whole equation is 0, if x = k then the whole equation is 0.
Prove that xy add x add y equals 30 has no positive integer solutions?
First we can solve for y by factoring it out: y(x+1)+x=30, so y=(30-x)/(x+1)= -1+31/(x+1). Let's start by assuming x and y are positive integers and look for a logical contradiction. Since y is positive, the right side (30-x)/(x+1) must be positive. Since x (and therefore x+1) is positive, 30-x must be positive. Therefore x is less than 31. But hold on! Since y is an integer, y+1=31/(x+1) is an integer. Since 31 is only divisible by 1 and 31, y+1 is an integer implies that (x+1) is 1 or 31, making x either 0 or 30. However, x is positive and less 30, which is impossible! There it cannot be the case that x and y are both positive integers.AnswerIt's not as complicated as that. Just add 1 to both sides and factorise, and you get: (x+1)(y+1) = 31. Since 31 is prime, one of its factors must be either 1 or -1. So we'd get x+1=1 (so x=0) or else x+1=-1 (so x=-2), or else y=0 or y=-2. But the question says x and y have to be positive.
Find the equation of the line tangent to when x equals 8?
The question is suppose to read: Find the equation of the line tangent to y=(x²+3x)²(2x-2)³, when x=8
What is the answer to this question give an example of two fractions whose product is an integer due to common factors?
give an example of two fractions whose product equals 1
What time what equals 384?
There are many solutions !... 1 x 384, 2 x 192 and 3 x 128 are just three possibilities.
How many positive integer solutions does the equation 2x plus 3y equals 100 have?
This question cannot be answered because there are no operations defined, such as +, -, x, /, and = .
What lists all the integer solutions of the equation x equals 10?
The person or program that solves the equation does.
What are the integer solutions to x to the y'th equals y to the x'th?
If x = y, then the equation is true for any integer pair. Otherwise, the equation is not equivalent and is impossible.
A positive integer divided by a Negative integer equals what?
Negative.
A negative integer times a positive integer equals what?
A negative integer. Every time.
How many solutions will the equation 25 equals 2x squared 6x have?
The quadratic equation will have two solutions.
What do you get when you subtract a negative integer from a positive integer?
You will get a positive integer. If you subtract a negative number, you will be adding it. I think of it like 2 minuses equals a plus. :P
Lsquare plus msquare plus nsquare equals 1?
This equation describes all the points on the unit sphere. There is an infinite number of solutions. Some quick integer solutions would be (1,0,0) and (0,1,0) and (0,0,1) which are the one the axes.
What is the expression b2-4ac under the radical sign in the quadratic formula?
6
What are the solutions to the quadtratic equation t2 - 4t equals -10?
There are no solutions because the discriminant of this quadratic equation is less than zero
Use the T table to determine 3 solutions to this equation 4x - 2y equals 8?
using the t-table determine 3 solutions to this equation: y equals 2x
What integer divided by the sum of negative 4 and positive 6 equals negative 15?
Set up an equation using x for the integer. The equation would be: x/(-4+6)=-15 Firstly find the sum of -4 and 6. It would be 2. The equation is now: x/2=-15 Multiply both sides by 2. This means that: x=-30 Plug it back into the equation to check: -30/(-4+6)=-15 -30/2=-15 -15=-15 It works therefore -30 is the integer that when divided by the sum of negative 4 and positive 6 equals negative 15.
