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The roots of the each of the following q...

The roots of the each of the following quadratic equations are real and equal, find k.
`3y^(2)+ky+12=0`

Text Solution

Verified by Experts

The correct Answer is:
The value of k is 12 or -12
`3y^(2)+ky+12=0`
Here, a=3, b=k, c=12
`Delta=b^(2)-4ac`
`=k^(2)-4(3)(12)`
`=k^(2)-144`
The roots are real and equal. " "…..(Given)
`:.Delta=0`
`":.k^(2)-144=0`
`:.(k+12)(k-12)=0`
`:.k=12=0ork-12=0`
`:.k=-12ork=12`
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