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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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.
The sum of the number and its square is 1406. What is the number ?a)47...
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