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Common Roots

If px2 + 5x+2...

Question

If $p x^{2} + 5 x + 2 = 0$ and $3 x^{2} + 10 x + q = 0$ have both roots in common, then

p = 4

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q = \frac{3}{2}

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p = \frac{3}{2}

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q = 4

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Solution

The correct option is D $q = 4$
Comparing both the equation $p x^{2} + 5 x + 2 = 0$ and $3 x^{2} + 10 x + q = 0$ , we get

$\frac{p}{3} = \frac{5}{10} = \frac{2}{q} \Rightarrow p = \frac{3}{2}, q = 4$

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