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13 cards from this deck
ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0 where a≠0a \neq 0a=0
Factorising, completing the square, quadratic formula
If product = 0, at least one factor must be 0
Move all terms to one side, leaving 0 on other
Halve it, then square that result
x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=2a−b±b2−4ac
b2−4acb^2 - 4acb2−4ac
Two different real solutions
One repeated real solution
No real solutions
Parabola (U-shaped curve)
X-intercepts where curve crosses x-axis
x=−b2ax = -\frac{b}{2a}x=−2ab
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