解方程2x²-3(x-3)²=6
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解方程2x²-3(x-3)²=6
![解方程2x²-3(x-3)²=6](/uploads/image/z/6459768-0-8.jpg?t=%E8%A7%A3%E6%96%B9%E7%A8%8B2x%26%23178%3B-3%28x-3%29%26%23178%3B%3D6)
2x^2-3(x-3)^2=6
2x^2-3(x^2-6x+9)=6
2x^2-3x^2+18x-27=6
-x^2+18x-33=0
x^2-18x+33=0
(x-9)²=81-33=48
x-9=±4√3
x=9±4√3
2x^2-3(x^2-6x+9)=6
2x^2-3x^2+18x-27=6
-x^2+18x-33=0
x^2-18x+33=0
(x-9)²=81-33=48
x-9=±4√3
x=9±4√3