当x为何值时,代数式x+3分之2x+9-x-3分之1与2+x分之2的值相等? 20
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(x+3)分之2x+(9-x²)分之2-(x-3)分之1=2?
就是解分式方程:
2x/(x+3)-2/(x²-9)-1/(x-3)=2
2x(x-3)/[(x+3)(x-3)]-2/(x²-9)-(x+3)/[(x-3)(x+3)]=2
2x(x-3)/(x²-9)-2/(x²-9)-(x+3)/(x²-9)=2
2x(x-3)-2-(x+3)=2(x²-9)
2x²-6x-2-x-3=2x²-18
-7x=-18+5
x=13/7,[7分之13]
就是解分式方程:
2x/(x+3)-2/(x²-9)-1/(x-3)=2
2x(x-3)/[(x+3)(x-3)]-2/(x²-9)-(x+3)/[(x-3)(x+3)]=2
2x(x-3)/(x²-9)-2/(x²-9)-(x+3)/(x²-9)=2
2x(x-3)-2-(x+3)=2(x²-9)
2x²-6x-2-x-3=2x²-18
-7x=-18+5
x=13/7,[7分之13]
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