Squaring x + y + z = 0 gives x2 + y2 + z2 + 2(xy + yz + zx) = 0. Since xy + yz + zx = 0, it simplifies to x2 + y2 + z2 = 0. ...
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First, find a common denominator for 1/6 and 2/5, which is 30, giving 5/30 and 12/30. The five rational numbers lying between them are 6/30, 7/30, 8/30, 9/30, and 10/30.
If you owe 15 rupees and someone forgives a 5 rupee debt, your net worth rises to 10 rupees. Removing a negative financial burden functions exactly like receiving a positive cash gift.
The initial noon temperature is 4. Since it drops by 15, we subtract 15 from 4. The mathematical calculation is 4 minus 15, which results in a midnight temperature of -11 degrees Celsius.
Natural numbers are not closed under subtraction. While subtracting a smaller number from a larger one works, subtracting a larger number from a smaller one, like 3 minus 5, results in a negative value.