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Find the value of k, so that the equatio...

Find the value of `k`, so that the equation `2x^2+kx-5=0` and `x^2-3x-4=0` may have one root in common.

Text Solution

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`x^2-3x-4=0`
`=>x^2-4x+x-4=0`
`=>x(x-4)+1(x-4) = 0`
`=>(x-4)(x+1) = 0`
`=> x=4 and x=-1`
Now, as `2x^2+kx-5=0`, have one common root with the previous equation.So, values of `x` will satisfy this equation.
When `x = 4`
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