MathProblemsBank

17.16 USE problems

Problem: Find all values of the parameter a, for which 1) the equation \( 4 x^{2}+4 x=a^{2}-1 \) has two different positive roots. 2) the equation \( (a-2) x^{2}+2(a-2) x+ \) \( +2=0 \) has no roots.