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The total number of values a so that x^2...

The total number of values a so that `x^2-x-a=0` has integral roots, where `a in Na n d6lt=alt=100` , is equal to a.`2` b. `4` c. `6` d. `8`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Consider the equation x^2+2x-n=0 where n in N and n in [5,100] The t...

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  2. If n1, n2 are positive integers, then (1 + i)^(n1) + ( 1 + i^3)^(n1) +...

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  3. The total number of values a so that x^2-x-a=0 has integral roots, wh...

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  4. If i=sqrt-1, then 4+5(-1/2+(isqrt3)/2)^334+3(-1/2+(isqrt3)/2)^365 is e...

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  5. Let P(x)=x^3-8x^2+c x-d be a polynomial with real coefficients and wi...

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  6. If a r g(z)<0, then a r g(-z)-"a r g"(z) equals pi (b) -pi (d) -pi/2...

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  7. Let P(x)=5/3-6x-9x^2a n dQ(y)=-4y^2+4y+(13)/2dot if there exists uniq...

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  8. If z1,z2, z3 are complex numbers such that |z1|=|z2|=|z3|=|1/z1+1/z2+1...

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  9. if a lt c lt b, then check the nature of roots of the equation (a ...

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  10. Q. Let z1 and z2 be nth roots of unity which subtend a right angle at...

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  11. If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+...

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  12. The complex numbers z1, z2 and z3 satisfying (z1-z3)/(z2-z3) =(1- i sq...

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  13. Find the value of a for which the sum of the squares of the roots of t...

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  14. For all complex numbers z1,z2 satisfying |z1|=12 and |z2-3-4i|=5, fin...

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  15. If x1, a n dx2 are the roots of x^2+(sintheta-1)x-1/2(cos^2theta)=0, ...

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  16. If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a)cospi/4 (b) sinp...

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  17. If p ,q in {1,2,3,4,5} , then find the number of equations of form p^2...

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  18. If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+...

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  19. Find the domain and the range of f(x)=sqrt(x^2-3x.)

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  20. Show that the equation Z^4+2Z^3+3Z^2+4Z+5=0 has no root which is eithe...

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