x=−b±√b2−4ac2a
x=−b±√Δ2a
x=12±√1206
x=12±√22⋅306
x=12±2√306
x=2±√303
That is:
x=2+√303 or x=2−√303
B= \(3x^2+12x-2\)
\(B=3\left(x^2+12x-2\right)\)
\(B=3\left(x^2+2.x.6+6^2-6^2-2\right)\)
\(B=3\left(x+6\right)^2-36-2\)
\(B=3\left(x+6\right)^2-38\ge-38\)
Vì \(3\left(x+6\right)^2-38>0\forall x\)
=> \(B_{min}=-38\) <=> \(3\left(x+6\right)^2=0\)
<=> \(x+6=0\) hay x = -6
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