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Quadratic Equations with Exactly One Root Common

If the equati...

Question

If the equations $2 x^{2} + k x - 5 = 0$ and $x^{2} - 3 x - 4 = 0$ have a common root, then the value of k is

$\frac{27}{4}$

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$- \frac{1}{4}$

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$- 3$

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$- 2$

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Solution

The correct option is C
$- 3$

If ' $α$ ' is the common root then $2 α^{2} + k α - 5 = 0, α^{2} - 3 α - 4 = 0$ solve the equations.

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Similar questions

2 x^{2} + k x - 5 = 0

x^{2} - 3 x - 4 = 0

k

If the equations $2 x^{2} + k x - 5 = 0$ and $x^{2} - 3 x - 4 = 0$ have a common root, then the value of k is

^{'} k^{'}

2 x^{2} + k x - 5 = 0

x^{2} - 3 x - 4 = 0

K

2 x^{2} + K x - 5 = 0

x^{2} - 3 x - 4 = 0

2 x^{2} + k r - 5 = 0

x^{2} - 3 x - 4 = 0

k

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