GCSE · Quadratic equations

The quadratic formulaExam-style questions

Where the formula comes from, how to substitute negative coefficients without sign disasters, and what the value under the square root says about how many solutions exist.

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13 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 3 Level 4 Level 5

1
Solve $2x^2 - 7x + 4 = 0$

Give your solutions correct to 2 decimal places. (3 marks)
Level 3 · 3 marksTry it
2
Solve $3x^2 + 5x - 4 = 0$

Give your solutions correct to 2 decimal places. (3 marks)
Level 3 · 3 marksTry it
3
(a) Solve $3x^2 + 4x - 5 = 0$ . Give your solutions correct to 3 decimal places. [3]

(b) Write down the coordinates of the point where the graph of $y = 3x^2 + 4x - 5$ crosses the $y$ -axis. [1]
Level 3 · 4 marksTry it
4
Solve $x^2 + 4x - 9 = 0$

Give your answers correct to 2 decimal places.
Level 3 · 3 marksTry it
5
Solve $x^2 - 6x + 2 = 0$

Give your answers correct to 2 decimal places.
Level 3 · 3 marksTry it