If the roots of quadratic equation are rational & distinct condition?

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Hemant Pandey

Top rated IIT JEE Maths Tutor (15 years Experience)

a,b,c are rational. Discriminant is perfect square. Discriminant is not equal to zero.If a,b,c are not rational then b/a must be rational and c/a also rational along with discriminant perfect square.
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"MATHS SUBJECT EXPERT IN EDUCATIONAL INDUSTRY"

Discriminate is greater than zero. Discriminate means b^2 -4ac>0 then roots are real and different.
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Mathematics , Physics and Chemistry tutor for International School and CBSE grades

Discriminant D=sqrt(b^2-4ac) > )
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Mathematics Tutor Available

The general form of quadratic equation is ax^2+bx+c=0 For a quadratic equation to have rational and distinct roots, b^2 - 4*a*c > 0
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Expertise in Maths application with physics

Real (rational or irrational) roots states that function cuts the x axis 2 times
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Entrance coaching for JEE/CET (Physics, Chemistry n Maths)

The condition is that discriminant is strictly greater than zero.
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Mathmagician

The roots of the quadratic equation will be real and distinct if the discriminant is greater than zero, the roots are equal if it is equal to zero and roots will be complex if discriminant is less than zero.
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CBSE Maths for Science stream

Roots of quadratic equation are rational & distinct when the discriminant is a perfect square.
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M.A. (Maths) M.Ed. NCERT's National Awrdee Innovations in Schools-

D> 0
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Mathematics Teacher

The roots of ax^2 +bx +c =0 have rational if b^2 -4ac >0 and prefect square .
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