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Chapter: Quadratic Equations· Mathematics Part 1 (Algebra)

Asked in: March 2025 board paper; forming the equation from given roots also came in March 2024 (roots 2 and 5) and June 2026 (roots 3 and −10)Complete the following activity to form a quadratic equation.Activity :I am a quadratic equation.→ My stand…

Asked in: March 2025 board paper; forming the equation from given roots also came in March 2024 (roots 2 and 5) and June 2026 (roots 3 and −10)

Complete the following activity to form a quadratic equation.

Activity :
I am a quadratic equation.
→ My standard form is ____ .
→ My roots are 5 and 12.
→ Sum of my roots ____ .
→ Product of my roots ____ .
→ My quadratic equation is ____ .

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Answer: \(ax^2 + bx + c = 0\); sum = 17; product = 60; \(x^2 - 17x + 60 = 0\)

Standard form: \(ax^2 + bx + c = 0\) (\(a \ne 0\)).

Sum of roots \(= 5 + 12 = 17\). Product of roots \(= 5 \times 12 = 60\).

Quadratic equation: \(x^2 - (\text{sum of roots})x + \text{product of roots} = 0\)

\(\therefore x^2 - 17x + 60 = 0\)

(For roots 2 and 5: \(x^2 - 7x + 10 = 0\). For roots 3 and −10: \(x^2 + 7x - 30 = 0\).)

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report
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