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The sum of values of x satisfying the eq...

The sum of values of `x` satisfying the equation `(31+8sqrt(15))^(x^2-3)+1=(32+8sqrt(15))^(x^2-3)` is (a) `3` (b) `0` (c) `2` (d) none of these

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. if z1 and z2 are two complex numbers such that absz1lt1ltabsz2 then p...

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  3. The sum of values of x satisfying the equation (31+8sqrt(15))^(x^2-3)+...

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  4. Let a complex number alpha,alpha!=1, be a root of the equation z^(p+q)...

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  5. If alpha,beta are real and distinct roots of a x^2+b x-c=0 and p ,q ar...

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  7. Prove that there exists no complex number z such that |z| < 1/3 an...

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  8. A quadratic equation with integral coefficients has two different prim...

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  9. find the centre and radius of the circle formed by all the points repr...

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  10. If a ,b ,c are three distinct positive real numbers, the number of rea...

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  11. Find the non-zero complex number z satisfying z =i z^2dot

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  12. Let a,b and c be real numbers such that 4a+2b+c=0 and ab gt 0.Then t...

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  13. If |z|<=1,|w|<=1, then show that |z- w|^2<=(|z|-|w|)^2+(argz-argw)^2

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  14. If alpha,beta are the roots of the equation x^2-2x+3=0 obtain the equa...

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  15. For complex numbers z and w prove that absz^2w-abs(w)^2z=z-w if and on...

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  16. If alpha,beta are the roots of the equation a x^2+b x+c=0, then the va...

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  17. let z1 and z2 be roots of the equation z^2+pz+q=0 where the coefficien...

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  18. If a in (-1,1), then roots of the quadratic equation (a-1)x^2+a x+sqrt...

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  19. The maximum value of |a r g(1/(1-z))| for |z|=1,z!=1 is given by.

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  20. If one root is square of the other root of the equation x^2+p x+q=0, t...

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