Quadratic Formula (Grade 11 NSC Matric Mathematics): Quizzes

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Quadratic Formula
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What is the quadratic formula primarily used for?

Solving any quadratic equation

Which is the correct quadratic formula?

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

What is the expression b2−4acb^2 - 4ac called?

The discriminant

If b2−4ac>0b^2 - 4ac > 0, what type of roots does the equation have?

Two distinct real roots

If b2−4ac=0b^2 - 4ac = 0, what type of roots does the equation have?

One repeated real root

If b2−4ac<0b^2 - 4ac < 0, what type of roots does the equation have?

No real roots

What form must a quadratic equation be in before applying the formula?

Standard form ax2+bx+c=0ax^2 + bx + c = 0

What does the ±\pm symbol in the quadratic formula mean?

Plus or minus

When should you use the quadratic formula?

When equation can't be factorised easily

What should you calculate first when solving using the formula?

The discriminant

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