one root of the quadratic equations 2x²-8x-k=0 is 5/2 find value of k and the other root
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2x²-8x-k=0
let x=5/2
put the value of x in the equation
2×(5/2)×(5/2)-8×(5/2)-k=0
(25/2)-20-k=0
12.5-20-k=0
-7.5-k=0
k= -7.5
hence,the value of k is -7.5
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