The possible values of such that the equation ,

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The possible values of aa such that the equation x2+2ax+a=a2+x−116−116x^2+2ax+a=\sqrt{a^2+x-\frac{1}{16}-\frac{1}{16}}, x≥−ax\geq-a, has two distinct real roots are to be found.

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