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The sum of the number and its square is 1406. What is the number ?
  • a)
    47
  • b)
    42
  • c)
    32
  • d)
    37
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The sum of the number and its square is 1406. What is the number ?a)47...
See the last digit 06…..go for 7
Last digit ..37+(37*37) = 7+49 = 16
So ans: 37
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Most Upvoted Answer
The sum of the number and its square is 1406. What is the number ?a)47...
Given, the sum of a number and its square is 1406.

Let's assume the number to be x.

According to the question, we have the equation:

x + x^2 = 1406

Now, we need to solve for x.

We can rearrange the equation to get:

x^2 + x - 1406 = 0

This is a quadratic equation in standard form:

ax^2 + bx + c = 0

where a = 1, b = 1, and c = -1406.

We can solve this equation using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

Substituting the values, we get:

x = (-1 ± sqrt(1^2 - 4(1)(-1406))) / 2(1)

Simplifying, we get:

x = (-1 ± sqrt(1 + 5624)) / 2

x = (-1 ± sqrt(5625)) / 2

x = (-1 ± 75) / 2

So, we get two solutions:

x = (-1 + 75) / 2 = 37

x = (-1 - 75) / 2 = -38

Since the question asks for a number, we can discard the negative solution.

Therefore, the answer is option D, 37.
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The sum of the number and its square is 1406. What is the number ?a)47b)42c)32d)37Correct answer is option 'D'. Can you explain this answer?
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