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If the equation x ^2+2(lambda+1)x+lambda...

If the equation `x ^2+2(lambda+1)x+lambda^2+lambda+7=0` has only negative roots, then the least value of `lambda` equals__________.

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. Let P(x)=x^4+a x^3+b x^2+c x+d be a polynomial such that P(1)=1,P(2)=8...

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  3. If the equation x ^2+2(lambda+1)x+lambda^2+lambda+7=0 has only negati...

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  4. Given alphaa n dbeta are the roots of the quadratic equation x^2-4x+k...

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  5. If (x^2+a x+3)/(x^2+x+a) takes all real values for possible real value...

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  7. If the roots of the equation x^2+a x+b=0 are c and d , then roots of ...

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  8. If a ,b ,c in R a n d a b c<0 , then equation b c x^2+(2b+c-a)x+a...

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  9. For the quadratic equation x^2+2(a+1)x+9a-5=0, which of the following ...

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  10. Let P(x)=x^2+b x+cw h e r eba n dc are integer. If P(x) is a factor ...

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  11. If |a x^2+b x+c|lt=1 for all x in [0, 1], then a.|a|lt=8 b. |b|>8 ...

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  12. Let f(x)=a x^2+b x+cdot Consider the following diagram. Then Fig c<0...

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  13. If roots of a x^2+b x+c=0 are alphaa n dbetaa n d4a+2b+c &gt;0,4a ,-2...

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  14. The equation (x/(x+1))^2+(x/(x-1))^2=a(a-1) has a. Four real roots ...

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  15. Find the complete set of values of a such that (x^2-x)//(1-a x) attain...

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  16. If alpha,beta are roots of x^2+p x+1=0a n dgamma,delta are the roots o...

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  18. If alphaa n dbeta are the roots of x^2-a(x-1)+b=0 then find the value ...

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  19. The equation formed by decreasing each root of ax^(2)+bx+c=0 by 1 is2x...

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  20. If the sum of the roots of an equation is 2 and the sum of their cubes...

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