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I am lazy, so I use the quadratic equation if I can not factor easily by inspection.
X^2 - 4X + 24 = 0
X = -b +/- sqrt(b^2-4a)/2a
a = 1
b = -4
c = 24
-(-4) +/- sqrt[(-4)^2 - 4(1)(24)]/2(1)
looks bad already. let us try discriminant
b^2 -4ac
16 -96
this equation has no real solution
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∙ 13y ago
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