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If the sum of a number and its square is 156, what is the number?
- a)16
- b)14
- c)12
- d)13
- e)None
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the sum of a number and its square is 156, what is the number?a)16b...
Let the number be x.
x+x2=156
x2+x−156=0
(x−12)(x+13)=0
x+x2=156
x2+x−156=0
(x−12)(x+13)=0
x+13=0
x=−13 (Since x is a natural number)
x−12=0
x=12
x=−13 (Since x is a natural number)
x−12=0
x=12
Most Upvoted Answer
If the sum of a number and its square is 156, what is the number?a)16b...
The condition is x^2 + X = 156.
So initially we need to take the closest square to 156 and it should be smaller than 156.
The required number is 144 = 12^2 . Add 12 to 144 and the sum comes out to be 156.
Hence x=12
So initially we need to take the closest square to 156 and it should be smaller than 156.
The required number is 144 = 12^2 . Add 12 to 144 and the sum comes out to be 156.
Hence x=12
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Community Answer
If the sum of a number and its square is 156, what is the number?a)16b...
Explanation:
Let the number be x. According to the problem, we have:
x + x^2 = 156
or, x^2 + x - 156 = 0
This is a quadratic equation. We can solve it using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation (ax^2 + bx + c = 0).
In this case, a = 1, b = 1, and c = -156. Substituting these values in the quadratic formula, we get:
x = (-1 ± √(1^2 - 4*1*(-156))) / 2*1
Simplifying this expression, we get:
x = (-1 ± √625) / 2
Therefore, the solutions of the quadratic equation are:
x1 = (-1 + √625) / 2 = 12
x2 = (-1 - √625) / 2 = -13
Since x represents a number, we reject the negative solution and choose x = 12 as the answer.
Therefore, the correct option is (c) 12.
Let the number be x. According to the problem, we have:
x + x^2 = 156
or, x^2 + x - 156 = 0
This is a quadratic equation. We can solve it using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation (ax^2 + bx + c = 0).
In this case, a = 1, b = 1, and c = -156. Substituting these values in the quadratic formula, we get:
x = (-1 ± √(1^2 - 4*1*(-156))) / 2*1
Simplifying this expression, we get:
x = (-1 ± √625) / 2
Therefore, the solutions of the quadratic equation are:
x1 = (-1 + √625) / 2 = 12
x2 = (-1 - √625) / 2 = -13
Since x represents a number, we reject the negative solution and choose x = 12 as the answer.
Therefore, the correct option is (c) 12.
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If the sum of a number and its square is 156, what is the number?a)16b)14c)12d)13e)NoneCorrect answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the sum of a number and its square is 156, what is the number?a)16b)14c)12d)13e)NoneCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of a number and its square is 156, what is the number?a)16b)14c)12d)13e)NoneCorrect answer is option 'C'. Can you explain this answer?.
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