Question

Find the condition that one of the roots of the equation ax^2+bx+c=0 may be positive and the other is negative

Answer 1

we have to find the condition that one of the roots of the equation ax² + bx + c = 0 may be positive and the other is negative.

solution : let one of the roots of the equation is +α then the other root will be -α

now sum of roots = - coefficient of x/coefficient of x²

⇒+α + (-α) = -b/a

⇒α - α = -b/a

⇒0 = b

Therefore b = 0 is the required condition.

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