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tmua.me Medium Set F Paper 1 · Q15

Paper 1Algebra

For each real number kk, consider the equation

3x2+4x+1x2+1=k.\frac{3x^2+4x+1}{x^2+1}=k.

What is the sum of all the values of kk for which this equation has exactly one real solution for xx?

A33
B44
C2−52-\sqrt5
D2+52+\sqrt5
E77

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