x+y=17 এবং xy=60 হলে x-y =কত?
Created: 2 years ago |
Updated: 4 months ago
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Given:
- x + y = 17
- xy = 60
We want to find x - y.
First, let's solve equation (1) for x: x = 17 - y
Now, substitute this expression for x into equation (2): (17 - y)y = 60
Expand the equation: 17y - y^2 = 60
Move all terms to one side to get a quadratic equation: y^2 - 17y + 60 = 0
Now, let's factor the quadratic equation: (y - 12)(y - 5) = 0
Setting each factor equal to zero:
- y - 12 = 0 => y = 12
- y - 5 = 0 => y = 5
So, we have two possible values for y, which are 12 and 5. Now, we can find x by using the equation x = 17 - y:
For y = 12: x = 17 - 12 = 5
For y = 5: x = 17 - 5 = 12
Now we have two pairs of values for x and y:
- x = 5, y = 12
- x = 12, y = 5
For both pairs, let's find x - y:
For x = 5, y = 12: x - y = 5 - 12 = -7
For x = 12, y = 5: x - y = 12 - 5 = 7
So, x - y can be either -7 or 7, depending on the values of x and y.
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