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If the equation `x^(2)-4x-(3k-1)|x-2|-2k+8=0,kinR`, has exaclty three distinct solutions, then k is eaual to _____. |
Answer» Correct Answer - 2 Given equation is `(x-2)^(2)-4-(3k-1)|x-2|-2k+8=0` or `r^(2)-(3k-1)t-2k+4=0`, where `t=|x-2|` For exactly 3 distinct solutions, one of the roots is zero and other root is positive. `:.k=2` |
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