3x^2+4x+6=9,求x^2-3/4x+6

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3x^2+4x+6=9,求x^2-3/4x+6
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3x^2+4x+6=9,求x^2-3/4x+6
3x^2+4x+6=9,求x^2-3/4x+6

3x^2+4x+6=9,求x^2-3/4x+6
3x²+4x+6=9
3x²+4x-3=0
⊿=4²-4×3×(-3)=52>0
x=(-4±2√13)/6=(-2±√13)/3
①当x=(-2+√13)/3时
x²-3/4x+6=[(-2+√13)/3]²-3/4[(-2+√13)/3]+6
=(302-25√13)/36
②当x=(-2-√13)/3时
x²-3/4x+6=[(-2-√13)/3]²-3/4[(-2-√13)/3]+6
=(302+25√13)/36

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