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If 2 and 5 are the roots of the quadratic equation, then complete the following activity to form quadratic equation :Activity :Let \(\alpha = 2\) and \(\beta = 5\) are the roots of the quadratic equation.Then quadratic equation is :\(x^2 - (\alpha +…

Q.2 (A)(ii) If 2 and 5 are the roots of the quadratic equation, then complete the following activity to form quadratic equation :

Activity :

Let \(\alpha = 2\) and \(\beta = 5\) are the roots of the quadratic equation.

Then quadratic equation is :

\(x^2 - (\alpha + \beta)x + \alpha\beta = 0\)

\(\therefore x^2 - (2 +\) ____\()x +\) ____ \(\times 5 = 0\)

\(\therefore x^2 -\) ____ \(x +\) ____ \(= 0\)

1 answer

Best answer

Answer: \(x^2 - 7x + 10 = 0\)

Blanks in order: \(\beta = 5\) in \((2 + \square)\), then \(\alpha = 2\) before \(\times 5\), then 7 as the coefficient of \(x\), and 10 as the constant term.

Sum of roots \(= 2 + 5 = 7\), product of roots \(= 2 \times 5 = 10\).

\(\therefore x^2 - 7x + 10 = 0\).

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report
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