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Nature of roots

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Nature of roots

Posted by Sachin Raj 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years ago

Nature of Roots

A quadratic equation ax² + bx + c = 0 has

(i) two distinct real roots, if b² – 4ac > 0,

(ii) two equal real roots, if b² – 4ac = 0,

(iii) no real roots, if b² – 4ac < 0.

Since b² – 4ac determines whether the quadratic equation ax2 + bx + c = 0 has real roots or not, b² – 4ac is called the discriminant of this quadratic equation

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CBSE > Class 10 > Mathematics