Last updated on Oct 24, 2026

Solving Quadratic Equations (-b Formula) (Leaving Cert Mathematics): Flashcards

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Solving Quadratic Equations (-b Formula)

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Quadratic formula for solving $ax^2+bx+c=0$

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

Coefficient $a$ in $ax^2+bx+c=0$

Coefficient of $x^2$ term

Coefficient $b$ in $ax^2+bx+c=0$

Coefficient of $x$ term

Coefficient $c$ in $ax^2+bx+c=0$

Constant term

Discriminant in quadratic formula

$b^2-4ac$

First step to use quadratic formula

Identify coefficients $a$ , $b$ , $c$

Meaning of $\pm$ in quadratic formula

Two solutions: one with $+$ , one with $-$

Value of $a$ in $2x^2-7x+3=0$

$a=2$

Value of $b$ in $2x^2-7x+3=0$

$b=-7$

Solutions to $2x^2-7x+3=0$

$x=3$ and $x=\frac{1}{2}$

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