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49. If k is a...

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49. If k is an integer root of equation ax2+bx+c=abc(where abc is a 3 digit number whose digits are a b and c ) then

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Q. If one root of the equation

a x^{2} + b x + c = 0

a, b, c

are integers is

\sqrt{5} + 3

, then the other root is

α, β

are the roots of the equation

a x^{2} + b x + c = 0

, then form an equation whose roots are:

α + k, β + k

p, q

are the roots of the equation

3 x^{2} + 7 x - 2 = 0,

then the equation whose roots are

\frac{p}{5} + 3, \frac{q}{5} + 3

a x^{2} + b x + c = 0.

Now the value of

\frac{c - b}{a} = \frac{k}{75},

k

a, b, c

are integers and

b^{2} = 4 (a c + 5 d^{2}), d \in N

, then roots of the quadratic equation

a x^{2} + b x + c = 0

2 - i

is one root of the equation

a x^{2} - b x + c = 0

a, b, c

are rational numbers, then the other root is

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