Question

The sum of the squares of two consecutive even natural number is 30. Find the numbers.​

Answer 1

Answer:

Hence the numbers are 12 and 14.

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Answer 2

Step-by-step explanation:

Let the two consecutive even natural number be x & x + 2

ATQ

x² + (x + 2)² = 30

x² + x² + 4x + 4 = 30

2x² + 4x = 26

x² + 2x - 13 = 0

Here, D = b² - 4ac = 2² - 4*1*13 = -48

So, the roots are imaginary.

Thus, this question have no real solution.

Answer 3

Step-by-step explanation:

Let the two consecutive even natural number be x & x + 2

ATQ

x² + (x + 2)² = 30

x² + x² + 4x + 4 = 30

2x² + 4x = 26

x² + 2x - 13 = 0

Here, D = b² - 4ac = 2² - 4*1*13 = -48

So, the roots are imaginary.

Thus, this question have no real solution.