Half-Yearly · Mathematics
Vinayak Gupta · Roll 17
Question Q2, 3 of 5 marks, partial.Let speed = x km/h360/x − 360/(x+5) = 1360(x+5) − 360x = x(x+5)1800 = x² + 5xx² + 5x − 1800 = 0(x + 45)(x − 40) = 0x = 45 or x = −40∴ Speed = 45 km/h
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Q2
3/5- Let the speed be x and form 360/x − 360/(x + 5) = 12/2
- Simplify to the quadratic x² + 5x − 1800 = 01/1
- Solve the factorisation: x = −45 or x = 400/1
- Reject the negative root and state 40 km/h with units0/1
Your diagnosis · Mathematics
Setup solid. Slip in the roots.
Equation formed correctly Signs flipped in the roots
- Forming a quadraticMastered
- Solving by factorisationNeeds focus
- Nature of rootsDeveloping
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Solve x² − 3x − 28 = 0 by factorisation.
Two consecutive integers multiply to 306. Find them.
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MathematicsScienceSocial ScienceClass 6–10
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