Sums and Products of Roots · CSEC Additional Mathematics

10 past-paper questions on Sums and Products of Roots, part of Quadratics, from every CSEC Additional Mathematics paper on Quelpr.

1. 2(a)5 marks· Additional Mathematics Q2 2(a)Calculate the value of α² + β².
2. 2(a)4 marks· Additional Mathematics Q2 2(a)Calculate the value of 1/α + 1/β.
3. 2(b)4 marks· Additional Mathematics Q2 2(b)Find the value of 1/α + 1/β.
4. 2(c)4 marks· Additional Mathematics Q2 2(c)Determine the value of 1/alpha^2 + 1/beta^2.
5. 35 marks· Additional Mathematics Q3 3Without using a calculator, express p/q in the form m+√n, where m and n are integers.
6. Q161 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1Given that a and b are the roots of the equation x^2 + 3x + 4 = 0, what is the value (a + b)^2?
7. Q161 mark · multiple choice· CSEC Additional Mathematics · 2015 · Paper 1Given that \alpha and \beta are the roots of the equation x^2 + 3x + 4 = 0, what is the value of (\alpha + \beta)^2?
8. Q51 mark · multiple choice· CSEC Additional Mathematics · 2016 · Paper 1A quadratic equation is such that the sum of its roots is -\frac{2}{3} and the product of its roots is \frac{3}{4}. The quadratic equation is
9. Q51 mark · multiple choice· CSEC Additional Mathematics · 2018 · Paper 1A quadratic equation is such that the sum of its roots is -\frac{2}{3} and the product of its roots is \frac{3}{4}. The quadratic equation is
10. Q51 mark · multiple choice· CSEC Additional Mathematics · May/June 2017 · Paper 1A quadratic equation is such that the sum of its roots is -\frac{2}{3} and the product of its roots is -\frac{3}{4}. The quadratic equation is