Probable Real Quadratika.

Probability Level 4

The values of a and ba \ \text{and} \ b are equally possible in the square a1,b1|a| \leq 1, |b| \leq 1. Find the probability (up to 3 decimal points) that the roots of the quadratic trinomial (x2+2ax+b)(x^2+2ax+b) are real.


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