14. If the equation (k-2)x²-(k-4)x-2 = 0 has difference of roots as 3 then the value of k
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Answer:
Step-by-step explanation:
For equal roots, b
2
−4ac=0
Here, a=1,b=2(k+1),c=9
∴[2(k+1)]
2
−4×1×9=0
or 4(k+1)
2
=4×9
or (k+1)
2
=9 or k+1=±3 or k=+2,−4
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