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Equation where highest power of variable is 2
ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0
a≠0a \neq 0a=0
Linear: 1 solution; Quadratic: at most 2
At most two solutions
If a×b=0a \times b = 0a×b=0, then a=0a = 0a=0 or b=0b = 0b=0
Write in standard form ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0
Factorise to (rx+s)(ux+v)=0(rx + s)(ux + v) = 0(rx+s)(ux+v)=0
Only one solution (both factors identical)
Substitute answers back into original equation
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