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If both the roots of a x^2+a x+1=0 are l...

If both the roots of `a x^2+a x+1=0` are less than 1, then find the exhaustive range of values of `adot`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Solve (x^2+2)^2+8x^2=6x(x^2+2)

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  2. Find the value of 2+1/(2+1/(2+1/(2+oo)))

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  3. If both the roots of a x^2+a x+1=0 are less than 1, then find the exha...

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  4. If both the roots of x^2+a x+2=0 lies in the interval (0, 3), then fin...

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  5. Solve (x^2+3x+2)/(x^2-6x-7)=0.

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  6. Solve sqrt(x-2)+sqrt(4-x)=2.

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  7. Solve sqrt(x-2)(x^2-4x-5)=0.

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  8. Solve the equation x(x+2)(x^2-1)=-1.

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  9. The number of disitinct real roots of x^4-4x^3+12x^2+x-1=0 is

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  10. Prove that graphs of y=x^2+2a n dy=3x-4 never intersect.

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  11. In how many points the line y+14=0 cuts the curve whose equation is x(...

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  12. Consider the graph of y = f(x) as shown in the following figure. ...

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  13. If x^2+p x-444p=0 has integral roots where p is prime number, then fin...

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  14. The equation a x^2+b x+c=0 has real and positive roots. Prove that th...

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  15. If the roots of the equation x^2-ax+b=0y are real and differ b a quan...

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  16. If (a x^2+b x+c)y+(a^(prime)x^2+b^(prime)x+c^(prime))=0 and x is a rat...

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  17. Prove that the minimum value of ((a+x)(b+x))/((c+x))a ,b > c ,x > -c ...

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  18. Let a ,b in N and a > 1. Also p is a prime number. If a x^2+b x+c=p f...

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  19. If 2x^2-3x y-2y^2=7, then prove that there will be only two integral p...

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  20. If a and c are odd prime numbers and a x^2+b x+c=0 has rational roots ...

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