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tmua.me Medium Set E Paper 1 · Q17

Paper 1Algebra

For certain real values of kk, the equation

x4−6x3+(k2+13)x2−(2k+12)x+5=0x^4-6x^3+(k^2+13)x^2-(2k+12)x+5=0

has at least one real solution for xx.

What is the sum of all these distinct values of kk?

A−32-\dfrac32
B12\dfrac12
C11
D32\dfrac32
E33

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