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Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

Let f(x)=x^2+3 x+1 and g(x)=x+1 . If f(x)+ g(x)>-10 x R then find the sum of all possible positive integral values of .

Correct answer

10

Step-by-step solution

aligned & x^2+3 x+1+ (x+1)>-10 & x^2+(3+ ) x+11+ >0 x R & D < 0 ( +3)^2-4(11+ ) < 0 & ^2+6 +9-44-4 < 0 & ^2+2 -35 < 0 & (-7,5) aligned Required sum =1+2+3+4=10 .

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