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Find the value of k so that the equation...

Find the value of k so that the equation `2x^(2)-5x+k=0` has two equal roots.

Text Solution

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The given equation is `2x^(2)-5x+k=0`
Comparing with `ax^(2)+bx+c=0`, we get
a=2,b=-5 and c=k
The equation will have two equal roots if
D=0
`:.D=b^(2)-4ac=0`
or `(-5)^(2)-4xx2xxk=0`
`implies25-8k=0" "impliesk=(25)/(8)`
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