Quadratic Formula (Grade 11 NSC Matric Mathematics): Flashcards

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Quadratic Formula
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Quadratic formula for ax2+bx+c=0ax^2 + bx + c = 0

x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

The discriminant

b2−4acb^2 - 4ac

Nature of roots when b2−4ac>0b^2 - 4ac > 0

Two distinct real roots

Nature of roots when b2−4ac=0b^2 - 4ac = 0

One repeated real root

Nature of roots when b2−4ac<0b^2 - 4ac < 0

No real roots (imaginary)

Standard form of quadratic equation

ax2+bx+c=0ax^2 + bx + c = 0 where a≠0a \neq 0

aa in ax2+bx+c=0ax^2 + bx + c = 0

Coefficient of x2x^2

bb in ax2+bx+c=0ax^2 + bx + c = 0

Coefficient of xx

cc in ax2+bx+c=0ax^2 + bx + c = 0

The constant term

±\pm in quadratic formula

Plus or minus, giving two possible solutions

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