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

Type of equations the b-b formula solves

All quadratic equations

Standard form of a quadratic equation

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

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

The quadratic formula

x=b±b24ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

First step using b-b formula

Identify values of aa, bb, and cc

Why use brackets when substituting into formula?

Prevents mistakes, especially with minus signs

How many solutions do quadratic equations typically have?

Two solutions

Symbol that gives two solutions in the formula

±\pm (plus or minus)

Solutions to 2x28x+6=02x^2 - 8x + 6 = 0

x=3x = 3 or x=1x = 1

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