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Cosine Rule

show that bc^...

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show that bc^2,ca^2,ab^2 are in AP if the sum of roots of the equation ax^2+bx+c=0 is equal to thesquares of their reciprocal

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Q. If the sum of the roots of the equation

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

is equal to sum of the squares of their reciprocals, then

b c^{2}, c a^{2}, a b^{2}

Q. If the sum of the roots of the equation

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

is equal to the sum of the square of their reciprocals. Then

{b c}^{2}, {c a}^{2}, {a b}^{2}

Q. If the sum of the roots of quadratic equation

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

is equal to the sum of the squares of their reciprocal then

\frac{a}{c}, \frac{b}{a}, \frac{c}{b},

Q. If in the equation

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

, the sum of roots is equal to sum of square of their reciprocals, then

\frac{c}{a}, \frac{a}{b}, \frac{b}{c}

A = a^{2} b + a b^{2} - a^{2} c - a c^{2},

B = b^{2} c + b c^{2} - a^{2} b - a b^{2}

C = a^{2} c + a c^{2} - b^{2} c - b c^{2}

a > b > c > 0

. If the equation

A x^{2} + B x + C = 0

has equal roots, then

a, b, c

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