Roots of ax^2 + b = 0 are real and distinct i | vedclass

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(B) For a quadratic equation of the form $Ax^2 + Bx + C = 0$,the roots are real and distinct if the discriminant $D = B^2 - 4AC > 0$.In the given equa

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$ab < 0$

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(B) For a quadratic equation of the form $Ax^2 + Bx + C = 0$,the roots are real and distinct if the discriminant $D = B^2 - 4AC > 0$.In the given equation $ax^2 + 0x + b = 0$,we have $A = a$,$B = 0$,and $C = b$.Substituting these values into the discriminant formula:$D = (0)^2 - 4(a)(b) > 0$$-4ab > 0$Dividing both sides by $-4$ (which reverses the inequality sign):$ab Therefore,the roots are real and distinct if $ab < 0$.

Roots of $ax^2 + b = 0$ are real and distinct if

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