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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The denominator is 2 cubed times 5, which equals 40. Since the highest power between the prime factors 2 and 5 is 3, the terminating decimal expansion will have exactly 3 decimal places.
To find 5 rational numbers between 2/5 and 3/5, multiply the numerator and denominator of both fractions by 6. This gives 12/30 and 18/30. The intermediate rational numbers are 13/30, 14/30, 15/30, 16/30, and 17/30.
Another effective method is the midpoint formula, where you add the two rational numbers together and divide by 2. Repeating this averaging process will continually generate new rational numbers between them.
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.