Solving Quadratic Equations using the '-b Formula' (Junior Cert Mathematics): Flashcards

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Solving Quadratic Equations using the '-b Formula'
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Alternative name for the −b-b formula

Quadratic Formula

Advantage of −b-b formula over factorising

Works for all quadratic equations

Standard form of a quadratic equation

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

The quadratic formula

x = rac{-b pm sqrt{b^2 - 4ac}}{2a}

In ax2+bx+c=0ax^2 + bx + c = 0, what is aa?

Number in front of x2x^2

In ax2+bx+c=0ax^2 + bx + c = 0, what is bb?

Number in front of xx

In ax2+bx+c=0ax^2 + bx + c = 0, what is cc?

The constant term

First step in using the −b-b formula

Identify values of aa, bb, and cc

Why use brackets when substituting into −b-b formula?

To prevent mistakes, especially with minus signs

How many solutions do quadratic equations typically have?

Two solutions

What does pmpm mean in the quadratic formula?

Use both plus (+) and minus (-) to find two solutions

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