Edexcel A-Level Mathematics AS Fp1 2 1 Sum of Roots and Product of Roots Questions

Practise reading α+β and αβ directly from quadratic coefficients, including parameter cases and reciprocal-root forms.

Exam points

[Maximum number: 1]

The quadratic equation

2 x^{2}-3 x+7=0

has roots $\alpha$ and $\beta$
Without solving the equation,

write down the value of $(\alpha+\beta)$ and the value of $\alpha \beta$

$2 x^{2}-3 x+7=0$ $\alpha+\beta=\frac{3}{2}, \quad \alpha \beta=\frac{7}{2}$
(1)

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