(45/(x-5))-(3/2)=45/x Question (45/(x-5))-(3/2)=45/x in progress 0 Môn Toán Philomena 5 years 2021-05-17T13:50:25+00:00 2021-05-17T13:50:25+00:00 2 Answers 96 views 0
Answers ( )
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Đáp án+Giải thích các bước giải:
`ĐKXĐ:x\ne 0;x\ne 5`
`45/(x-5)-3/2=45/x`
`<=>(45.2x)/(2x(x-5))-(3x(x-5))/(2x(x-5))=(45.2(x-5))/(2x(x-5))`
`=>90x-3x(x-5)=90(x-5)`
`<=>90x-3x^2+15x=90x-450`
`<=>-3x^2+90x-90x+15x+450=0`
`<=>-3x^2+15x+450=0`
`<=>-3(x^2-5x-150)=0`
`<=>x^2-5x-150=0`
`<=>x^2-15x+10x-150=0`
`<=>x(x-15)+10(x-15)=0`
`<=>(x-15)(x+10)=0`
`<=>x-15=0` hoặc `x+10=0`
`<=>x=15(TM)` hoặc `x=-10(TM)`
Vậy `S=\{15;-10\}`