NumericalModerate3 marks
Solve the equation 4x² - 5x - 3 = 0 and give your answer correct to two decimal places.
Topic: Quadratic equations
Previous-year question practice database
Answer
Solution diagram

Exam answer
x = 1.69 x = −0.44
Explanation
4x2 − 5x − 3 = 0 x = 5 ± 25 − 4 x 4 x (−3) 2x4 x = 5 ± √73 x = 5 ± 8.544 x = 1.693 x = −0.443 x = 1.69 x = −0.44
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