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arlik [135]
3 years ago
8

Are the set of all square numbers under 50 and the set of all triangular numbers that are less than 50 disjoint?

Mathematics
1 answer:
Alina [70]3 years ago
7 0

Answer:

No, the two sets are not disjoint.

Step-by-step explanation:

Set of triangular numbers to 50: 1, 3, 6, 10, 15, 21, 28, 36, 45

Set of square numbers to 50: 1, 4, 9, 16, 25, 36, 49

They have 1 and 36 in common, so they are not disjoint, or in other words, they have some of the same numbers.

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Step-by-step explanation:

Step 1:-

Given equations are y=-2 x+30........(1)

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Step 2:-

solving these two equations (1) and (2)

Equating both equations are  4 x = -2 x+30

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Step 3:-

The final answer is x=5

                                                 

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