The solution set of the inequality √6−x(5x2−7.2x+3.9−25√2)≥0 can be given by (−a,bc), then c - b =
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Solution
xϵ(−∞,15) First of all we must have 6−x≥0∴x≤6 Also 5x2−7.2x+3.9−5212≥0 ⇒x2−7210x+3910≥52i.e.,2510 ⇒5x2−36x+7≥0⇒(x−7)(5x−1)≥0 ⇒x≤15,x≥7(Rejectedasx≤6) ∴x≤15⇒xϵ(−∞,15)