TMUA · Paper 1: Applications of Mathematical Knowledge
Quadratics and the discriminant
10 practice questions, each with the answer and an explanation.
Practise Quadratics and the discriminant now
Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.
All 10 questions
- The equation has two equal real roots. What is the value of ?
- The graph of touches the -axis at exactly one point, and . What is ?
- The line is a tangent to the curve . What is the value of ?
- The roots of are and . What is the value of ?
- How many distinct real solutions does have?
- What is the minimum value of for real ?
- For which values of is ?
- How many integers satisfy ?
- For which values of does have real roots?
- Let . How many real values of satisfy ?
Keep practising
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