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Let A is set of all real values of a for which equation x^(2)-ax+1=0 has no real roots and B is set of al real values of b for which f(x)=bx^(2)+bx+0.5gt0AAxepsilonR then AcapB= |
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Answer» `{X:0ltxlt2}` `becauseDlt0impliesa^(2)-4lt0` `impliesaepsilon(-2,2)` `because A={x:-2ltxlt2}` `f(x)=bx^(2)+bx+0.5gt0AAxepsilonR`, if `bgt0` `because Dlt0impliesb^(2)-4b.(1)/(2)lt0` `impliesb^(2)-2blt0impliesbepsilon(0,2)` ALSO `b=0` then `f(x)gt0AAxepsilonRbecausebepsilon[0,2]` `becauseB={x:0lexlt2}` `becauseAcapB={x:0lexlt2}` |
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