QUADRATIC ROCK....
Level
pending
The complete set of values of k,for which the quadratic equation x^2 -kx +k+2 =0 has equal roots consist of -
2+-\sqrt{12}
2+\sqrt{12}
2-\sqrt{12}
-2-\sqrt{2}
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1 solution
For a quadratic equation Ax^{2} + Bx + C = 0 to have equal root B^{2} - 4AC must be equal to zero. In this case A=1, B=-k and C=k+2.
substituting this values gives another quadratic equation K^{2} -4K - 8 = 0. Solving this equation for K we get K = 2 + \sqrt{12} or K = 2 - \sqrt{12}. Hence the answer.!