12 – 3x/32 = 6/4 – x Question 12 – 3x/32 = 6/4 – x in progress 0 Môn Toán Verity 4 years 2020-10-14T18:29:57+00:00 2020-10-14T18:29:57+00:00 2 Answers 111 views 0
Answers ( )
Đáp án:
`12 – (3x)/32 = 6/4 – x`
`<=> 12 – 6/4 = (3x)/12 – x`
`<=> 48/4 – 6/4 = (3x)/12 – (12x)/12`
`<=> 42/4 = (-9x)/12`
`<=> 126/12 = (-9x)/12`
`<=> 126 = -9x`
`<=> x = 126 : (-9)`
`<=> x = -14`
Giải thích các bước giải:
`12-{3x}/{32}=6/{4-x}`
`{384-3x}/{32}=6/{4-x}`
`(384-3x)(4-x)=32.6`
`(384-3x)(4-x)=192`
`⇒384-3x;4∈Ư(192)`
Vì `384-3x⋮3⇒384-3x=±3`
`TH1:384-3x=3⇒x=127`
`⇒4-x=64⇒x=-60`
`TH2:384-3x=-3⇒x=129`
`⇒4-x=-64⇒x=68`
Vậy $x∈\varnothing$