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HomeKarnataka SSLC (Class 10)MathematicsQuadratic Equations › If the discriminant $b^2-4ac > 0$, the quadratic…

If the discriminant $b^2-4ac > 0$, the quadratic equation has

Atwo equal real roots
Bno real roots
Ctwo distinct real roots
Dexactly one root
Answer & Solution
Correct answer: C. two distinct real roots
1. The discriminant decides the nature of the roots. 2. If $b^2-4ac>0$, the equation has **two distinct real roots**. 3. ($=0$ gives two equal roots; $<0$ gives no real roots.) _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch10 'Quadratic Equations', §10.4_
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