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Practice | SPM Add Math

SPM Additional Mathematics (KSSM)

Question
Bahasa Melayu
Punca-punca bagi persamaan kuadratik $3x^2 + kx - 3 = 0$ ialah $p$ dan $q$, dengan keadaan $k$ ialah pemalar bukan sifar. Bentukkan satu persamaan kuadratik yang mempunyai punca-punca $\frac{1}{p + 1}$ dan $\frac{1}{q + 1}$, dalam sebutan $k$. Berikan jawapan dalam bentuk $kx^2 + (b - k)x + c = 0$, dengan keadaan $b$ dan $c$ ialah integer.

English
The roots of the quadratic equation $3x^2 + kx - 3 = 0$ are $p$ and $q$, where $k$ is a non-zero constant. Form a quadratic equation whose roots are $\frac{1}{p + 1}$ and $\frac{1}{q + 1}$, in terms of $k$. Give your answer in the form $kx^2 + (b - k)x + c = 0$, where $b$ and $c$ are integers.
[5 marks]
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Modelled on Selangor trial · Kertas 1 · Q5(b)

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Modelled on Selangor trial · Kertas 1 · Q5(b)

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Chapter 1
Functions
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