Question
Download Solution PDFSum of a number and twice its square is 105. Find out that number?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: The sum of a number and twice its square is 105.
Let the number be denoted as x.
Concept Used:
The problem involves solving a quadratic equation using trial and error or logical substitution.
The equation can be represented as: x + 2x² = 105
Calculation: Start solving the equation step by step: x + 2x² = 105
⇒ Substitute x = 7: 7 + 2 × 7² = 105
This satisfies the equation.
Final Answer:
∴ The correct number is x = 7.
Last updated on Jul 1, 2025
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