Question
Download Solution PDFA positive number, when added to its square, gives 56. The number is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A positive number, when added to its square, gives 56.
Formula used:
Let the number be x
x + x2 = 56
Calculation:
x + x2 = 56
⇒ x2 + x - 56 = 0
Solving the quadratic equation:
⇒ (x + 8)(x - 7) = 0
⇒ x = - 8 or x = 7
Since x is a positive number, x = 7
∴ The correct answer is option (3).
Last updated on Jun 30, 2025
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