Δ′=12−m2+3m=−(m2−3m−1)Δ′=12−m2+3m=−(m2−3m−1)
PT có 2 nghiệm PB ⇔−(m2−3m−1)>0⇔−(m2−3m−1)>0
m2−3m−1<0⇔(m−32)2>154m2−3m−1<0⇔(m−32)2>154
m−32>15−−√2⇒m>15−−√+32m−32>152⇒m>15+32
Vi-ét
{x1+x2=2x1x2=m2−3m{x1+x2=2x1x2=m2−3m
x21+x22=(x1+x2)2−2x1x2=4−2m2+6mx12+x22=(x1+x2)2−2x1x2=4−2m2+6m
⇒−2m2+6m+4=8⇒−2m2+6m+4=8
Tính m ra
x21+x22=−2m2+6m+4x12+x22=−2m2+6m+4
=−2(m2−3m−2)=−2(m2−3m−2)
=−2(m−32)2−174
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