Đáp án:
↓↓
Giải thích các bước giải:
`1)`
`x-8=3-2(x+4)`
`<=>x-8=3-2x-8`
`<=>3x=3`
`<=>x=1`
`2)`
`2(x+3)+3(x-1)=2`
`<=>2x+6+3x-3=2`
`<=>5x=5`
`<=>x=1`
`3)`
`4(x-5)-3(x-1)=x-19`
`<=>4x-20-3x+3=x-19`
`<=>x=-2`
`4)`
`7 – ( x – 2) = 5(2x – 3)`
`<=>7-x+2=10x-15`
`<=>11x=22`
`<=>x=2`
`5)`
`32 – 4(0,5y – 5) = 3y + 2`
`<=>32-2y+20=3y+2`
`<=>5y=50`
`<=>y=10`
`6)`
`3(x – 1) – x = 2x – 3`
`<=>3x-3-x=2x-3`
`<=>0x=0` (vô số nghiệm)
`7)`
`x( x – 1) = x(x + 3)`
`<=>x^2-x=x^2+3x`
`<=>4x=0`
`<=>x=0`
`8)`
`x(2x –3) –x2 + 2 = x(x –5) –1`
`<=>2x^2-3x-x^2+2=x^2-5x-1`
`<=>x=-3/2`
`9)`
`(x – 1)(x + 3) = x2 – 4`
`<=>x^2-3x-x-3=x^2-4`
`<=>4x=4`
`<=>x=1`
`10)`
`(x – 2)(x – 5) = (x – 3)(x – 4)`
`<=>x^2-5x-2x+10=x^2-4x-3x+12`
`<=>0x=2` (vô nghiệm)
`11)`
`( 6x + 2)(x – 2) = 2x(3x – 5)`
`<=>6x^2-12x+2x-4=6x^2-10x`
`<=>0x=-4` (vô nghiệm)
`12)`
`(x – 2)2 = (x – 3)(x + 2)`
`<=>x^2-4x+4=x^2+2x-3x-6`
`<=>x=10`
`13)`
`(x–1)(x +3) – (x+2)(x–3) = 0`
`<=>x^2-3x-x-3-x^2+3x-2x+6=0`
`<=>-3x=-3`
`<=>x=1`
`14)`
`(3x – 2)(4x + 3) = 2x(6x – 1)`
`<=>12x^2+9x-8x-6=12x^2-2x`
`<=>x=6`
`15)`
`4x2 – (2x + 1)(2x – 1) = 0`
`<=>4x^2-4x^2+2x-2x+1=0`
`<=>0x=-1` (vô nghiệm)
`16)`
`(x + 3)(x – 2) = (x + 1).2`
`<=>x^2-2x+3x-6=x^2+2x+1`
`<=>x=-7`
`17) `
`(x+7)(x–7) + x2 – 2 = 2(x2+5)`
`<=>x^2-7x+7x-49+x^2-2=2x^2+10`
`<=>0x=61` (vô nghiệm)
`18)`
`(x–1)2 + (x+3)2 = 2(x– 2)(x+2)`
`<=>x^2-2x+1+x^2+6x+9=2x^2+4x-4x-8`
`<=>0x=-18` (vô nghiệm)
`19)`
`(x – 5)^2 = (x + 3)2 + 2`
`<=>x^2-10x+25=x^2+6x+9+2`
`<=>16x=14`
`<=>x=14/16`
`20) `
`(3x + 2)^2 – (3x – 2)^2 = 5x + 38`
`<=>9x^2+12x+4-9x^2+12x-4=5x+38`
`<=>19x=38`
`<=>x=2.`