Using the quadratic formula, solve 2x² + 5x - 3 = 0. Give your answers correct to 2 decimal places where necessary.

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Question

Using the quadratic formula, solve 2x² + 5x - 3 = 0. Give your answers correct to 2 decimal places where necessary.

Accepted Answer

x = 0.5 or x = -3 — 5 or x = -3. Award 1 mark for correct substitution into x = (-5 ± √(25 + 24))/4 = (-5 ± 7)/4, giving x = 2/4 = 0.5 or x = -12/4 = -3. B is incorrect — sign errors in final calculation. C is incorrect — incorrect discriminant calculation. D is incorrect — reversed the signs of the solutions.

Answer

x = -0.5 or x = 3

Answer

x = 0.5 or x = -3

Answer

x = 3 or x = -0.5

Answer

x = 1.5 or x = -1

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