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tmua.me Medium Set C Paper 1 · Q20

Paper 1Algebra

For a real constant aa, consider the equation

∣x2−a∣=∣x−2∣.\lvert x^2-a\rvert=\lvert x-2\rvert.

What is the sum of all values of aa for which this equation has exactly three distinct real solutions?

A−12-\dfrac12
B74\dfrac74
C72\dfrac72
D44
E234\dfrac{23}4

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