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Inequalities Involving Modulus Function

Find the cond...

Question

Find the condition if the sum of the roots of quadratic equations ax^2-bx-c=0(a is not equal to 0) is equal to the product of its roots.

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Q. The sum of the roots of quadratic equation

a x^{2} + b x + c = 0 (a, b, \neq 0)

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

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

\frac{c}{b}

Q. If the sum of the roots of the quadratic equation

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

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

\frac{b^{2}}{a c} + \frac{b c}{a^{2}}

Q. Find the product of roots of quadratic equation:

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

Q. The sum of the roots of the quadratic equation

a x^{2} + b x + c = 0, a \neq 0

is , while the product of the roots of the quadratic equation is .

Q. Find sum of roots of quadratic equation:

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

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Inequalities Involving Modulus Function

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