Activity: Fill in the gaps and complete. Quadratic equation ax² + bx + c = 0 : (i) b² - 4ac = 5 (ii) b² - 4ac = -5 → nature of roots?

Answer: Δ = 5: roots are real and unequal; Δ = −5: roots are not real. The nature of roots depends on Δ = b² - 4ac . Δ = 5 > 0 : roots are real and unequal. Δ = -5 < 0 : roots are not real.

Fill in the gaps and complete: For the quadratic equation ax^2 + bx + c = 0, if b^2 - 4ac = 5 and if b^2 - 4ac = -5, what is the nature of roots?

Activity: Fill in the gaps and complete.

Quadratic equation \(ax^2 + bx + c = 0\): (i) \(b^2 - 4ac = 5\) (ii) \(b^2 - 4ac = -5\) → nature of roots?

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

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Answer: Δ = 5: roots are real and unequal; Δ = −5: roots are not real.

The nature of roots depends on \(\Delta = b^2 - 4ac\).

\(\Delta = 5 > 0\): roots are real and unequal.
\(\Delta = -5 < 0\): roots are not real.

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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Fill in the gaps and complete: For the quadratic equation ax^2 + bx + c = 0, if b^2 - 4ac = 5 and if b^2 - 4ac = -5, what is the nature of roots?

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