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If 2x^2-3x y-2y^2=7, then prove that the...

If `2x^2-3x y-2y^2=7,` then prove that there will be only two integral pairs `(x ,y)` satisfying the above relation.

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. 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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  3. If 2x^2-3x y-2y^2=7, then prove that there will be only two integral p...

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

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  5. If f(x)=x^3+b x^2+c x+d and f(0),f(-1) are odd integers, prove that f...

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  6. If x is real, then the maximum value of y=2(a-x)(x+sqrt(x^2+b^2))

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  9. If set of values a for which f(x)=a x^2-(3+2a)x+6, a!=0 is positive fo...

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  10. Polynomial P(x) contains only terms of aodd degree. when P(x) is divid...

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  11. If the equation 2x^2+4x y+7y^2-12 x-2y+t=0, where t is a parameter has...

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

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  18. If cos^4theta+alpha and sin^4theta+alpha are the roots of the equation...

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

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  20. If a ,b ,c in R a n d a b c&lt;0 , then equation b c x^2+(2b+c-a)x+a...

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