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21. a=2-root3...

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21. a=2-root3 b=3-2root2 Which is greater??

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Q. If the roots of the equation

x^{2} - 2 a x + a^{2} + a - 3 = 0

are real and greater than

3,

Q. Quadratic equation

x^{2} + (a - 1) i x + 5 = 0 (a \in R)

will have a pair of conjugate complex roots, if

Q. Which is greater :

{log}_{1 / 3} \frac{1}{2} o r {log}_{1 / 2} \frac{1}{3}

Q. The root of the equation

2 (1 + i) x^{2} - 4 (2 - i) x - 5 - 3 i = 0

which has greater modulus is

Q. Which is greater?

{(\frac{1}{2})}^{\frac{1}{2}}

{(\frac{2}{3})}^{\frac{1}{3}}

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