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Daniel J Smith Custom TMUA Set A Paper 1 · Q11

Paper 1Number & countingAlgebra

Let kk be an integer with 0≤k≤100\leq k\leq10

Consider the quadratic equation

x2−2kx+(k2−3k+2)=0x^2-2kx+(k^2-3k+2)=0

For how many values of kk does the equation have two distinct positive real roots?

A66
B77
C88
D99
E1010

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