CAIE IGCSE Mathematics Extended E2.5.6 Solve Quadratic Equations Questions

Review CAIE IGCSE Mathematics quadratic equations through factorisation, the quadratic formula, completed-square ideas and applied contexts.

Exam points

Solve quadratic equations by factorisation or formula, use discriminants and accuracy requirements, and form quadratics from applied contexts.

[Maximum number: 3]

Antonio travels 100 km at an average speed of $x \mathrm{~km} / \mathrm{h}$ .

He then travels a further 150 km at an average speed of (x+10) km / h.
The time taken for the whole journey is 4 hours 20 minutes.

Solve $13x^2-620x-3000=0$ to find the speed Antonio travels for the first 100 km of the journey.
You must show all your working and give your answer correct to 1 decimal place.

$\frac{620\pm\sqrt{(-620)^2-4(13)(-3000)}}{2(13)}$
or equivalent quadratic formula
M1 for $(-620)^2-4\times13\times(-3000)$ oe
x=52.1 to 52.2 final answer
Reject negative speed

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CAIE IGCSE Mathematics Extended E2.5.6 Solve Quadratic Equations Questions question 1