Question

prove that alpha^4 bheta^7 + alpha^7bheta^4 = bc^4 (3ac-b^2)/a^7
in the equation if ax^2 + bx+c=0 where c is not equal to zero
and answer should be in terms of a,b,c
​

Answer 1

Answer:

For the quadratic equation ax

2

+bx+c=0,a,b,c,εQ

Roots are given by

α=

2a

−b+

b

2

−4ac

and

β=

2a

−b−

b

2

−4ac

If D=0 then α=

2a

−b

=β i.e. the roots are equal and real.

Since a,b and c∈Q, the roots will be equal and rational.

Hence, statements P and R are correct.