(C) Given the quadratic equation $x^2 + bx - c = 0$ with $b, c > 0$.Let the roots be $\alpha$ and $\beta$.According to the relation between roots and

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(C) Given the quadratic equation $x^2 + bx - c = 0$ with $b, c > 0$.Let the roots be $\alpha$ and $\beta$.According to the relation between roots and coefficients:Sum of roots $\alpha + \beta = -b$.Since $b > 0$,then $-b Product of roots $\alpha \beta = -c$.Since $c > 0$,then $-c Since the product of the roots is negative,the roots must have opposite signs.

Class 11 Mathematics 2 Complex Numbers and Quadratic Equations: Quadratic Equations Relation between roots and coefficients

Medium

The roots of the equation $x^2 + bx - c = 0$ where $b, c > 0$ are:

A
Both positive
B
Both negative
C
Of opposite sign
D
None of these

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2 Complex Numbers and Quadratic Equations: Quadratic Equations

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Relation between roots and coefficients

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The roots of the equation $x^2 + bx - c = 0$ where $b, c > 0$ are:

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