The sum of the squares of two positive whole numbers is 794 if one of the numbers in 13 find the other
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impatient much? Did you think of working on it yourself?
x^2 + 13^2 = 794
x^2 = 625
x = 25
To find the other number, we can use the given information that the sum of the squares of two positive whole numbers is 794 and one of the numbers is 13. Let's denote the other number as "x."
We can set up the equation as:
13^2 + x^2 = 794
Simplifying the equation:
169 + x^2 = 794
Subtracting 169 from both sides:
x^2 = 625
Now, we need to find the square root of both sides to isolate the variable "x":
√(x^2) = √625
Simplifying the equation:
x = ±25
Since we are looking for a positive whole number, the other number must be x = 25. Therefore, when one of the numbers is 13, the other number is 25.
To find the other number, we can set up an equation based on the given information.
Let's assume that the other number is "x".
According to the problem, the sum of the squares of the two positive whole numbers is 794. Mathematically, we can represent this as:
13^2 + x^2 = 794
Now, we can solve for "x".
To isolate "x^2", we subtract 169 from both sides of the equation:
x^2 = 794 - 169
Simplifying the right side gives:
x^2 = 625
To find the value of "x", we take the square root of both sides:
√(x^2) = √625
This simplifies to:
x = ±25
Since we are looking for a positive whole number, the other number is 25.
Therefore, if one of the numbers is 13, the other number is 25.