Find the values of 'a' for which -3<[(x2 + ax - 2)/(x2+x+1)]<2 is valid for all real x.
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2a+b+ 2x
2a+b
2a + b 2x2x
2ab
2x+2a +b+ 2x 2x.(2a -+b+2x)
2a +b 2ab
2a+ b + 4x
2a +b
2ax +bx +2x2
ab
ab +ab? + 4abx = 4a2 +2abx +
lax +2abx + b?x +2bx2
a*b + ab* =x*(4a + 2b) + x(4a +6*)
-(4a+b') + V(4a2 +b*)* +4(4a + 2(4a + 2b)
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