by Z. Lau
A Level Maths: [Pure] Quadratics – Solving Quadratic Equations
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Practice Problems
Q 1. Solve 24 − x2 = 10x [2 marks]
Q 2. Solve 2x2 − 4x + 1 = 0. Give your answers in exact from. [2 marks]
Q 3. Find the real roots of the equation x184 + x12 = 4. [4 marks]
Q 4. Solve the equations [4 marks]
y − x = 4,
2
2
x + y − 8x − 4y − 16 = 0
Q 5. Find the coordinates of the points of intersection of the line y + 2x = 11 and the curve xy = 12. [4
marks]
Answers to practice problems
Q1. x = −12,√2
Q2. x = 1 ± 22
Q3. x = ± 32
Q4. x = −2, y = 2; x = 4, y = 8
Q5. ( 32 , 8) (4, 3)