Tìm x a, (3x-1)(2x+7)-(x+1)(6x-5) = 16 b,(10x+9)x-(5x-1)(2x+3)=8 c, (3x-5)(7-5x)+(5x+2)(3x-2)-2 = 0 03/09/2021 Bởi Athena Tìm x a, (3x-1)(2x+7)-(x+1)(6x-5) = 16 b,(10x+9)x-(5x-1)(2x+3)=8 c, (3x-5)(7-5x)+(5x+2)(3x-2)-2 = 0
` a) (3x-1)(2x+7)-(x+1)(6x-5) = 16` `⇔(6x^2+19x−7)-(6x^2+x−5)=16` `⇔6x^2+19x−7-6x^2-x+5=16` `⇔(6x^2-6x^2)+(19x−x)+(5-7)=16` `⇔18x-2=16` `⇔18x-2-16` `⇔18x-18=0` `⇔18(x-1)=0` `⇔x-1=0` `⇔x=0+1` `⇔x=1.` Vậy `x=1.` `b)(10x+9)x-(5x-1)(2x+3)=8` `⇔(10x^2+9x)-(10x^2+13x−3)=8` `⇔10x^2+9x-10x^2-13x+3=8` `⇔(10x^2-10x^2)+(9x-13x)+3-8=0` `⇔-4x-5=0` `⇔-4x=0+5` `⇔-4x=5` `⇔x=5:(-4)` `⇔x=-5/4.` Vậy `x=-5/4.` `c)(3x-5)(7-5x)+(5x+2)(3x-2)-2 = 0` `⇔(−15×2+46x−35)+(15x^2−4x−4)=0` `⇔−15×2+46x−35+15x^2−4x−4-2=0` `⇔(-15x^2+15x^2)+(46x-4x)-(35+4+2)=0` `⇔42x-41=0` `⇔42x=0+41` `⇔42x=41` `⇔x=41:42` `⇔x=41/42.` Vậy `x=41/42.` Bình luận
Đáp án: a) `(3x-1)(2x+7)-(x+1)(6x-5)=16` `<=>6x^2+21x-2x-7-6x^2+5x-6x+5-16=0` `<=>18x=-18` `<=>x=-1` Vậy `x = -1` b) `(10x+9)x-(5x-1)(2x+3)=8` `<=>10x^2+9x-10x^2-15x+2x+3-8=0` `<=>-4x=5` `<=>x=-5/4` Vậy `x=-5/4` c) `(3x-5)(7-5x)+(5x+2)(3x-2)-2=0` `<=>21x-15x^2-35+25x+15x^2-10x+6x-4-2=0` `<=>42x=-41` `<=>x=-41/42` Vậy `x=-41/42` Giải thích các bước giải: Bình luận
` a) (3x-1)(2x+7)-(x+1)(6x-5) = 16`
`⇔(6x^2+19x−7)-(6x^2+x−5)=16`
`⇔6x^2+19x−7-6x^2-x+5=16`
`⇔(6x^2-6x^2)+(19x−x)+(5-7)=16`
`⇔18x-2=16`
`⇔18x-2-16`
`⇔18x-18=0`
`⇔18(x-1)=0`
`⇔x-1=0`
`⇔x=0+1`
`⇔x=1.`
Vậy `x=1.`
`b)(10x+9)x-(5x-1)(2x+3)=8`
`⇔(10x^2+9x)-(10x^2+13x−3)=8`
`⇔10x^2+9x-10x^2-13x+3=8`
`⇔(10x^2-10x^2)+(9x-13x)+3-8=0`
`⇔-4x-5=0`
`⇔-4x=0+5`
`⇔-4x=5`
`⇔x=5:(-4)`
`⇔x=-5/4.`
Vậy `x=-5/4.`
`c)(3x-5)(7-5x)+(5x+2)(3x-2)-2 = 0`
`⇔(−15×2+46x−35)+(15x^2−4x−4)=0`
`⇔−15×2+46x−35+15x^2−4x−4-2=0`
`⇔(-15x^2+15x^2)+(46x-4x)-(35+4+2)=0`
`⇔42x-41=0`
`⇔42x=0+41`
`⇔42x=41`
`⇔x=41:42`
`⇔x=41/42.`
Vậy `x=41/42.`
Đáp án:
a) `(3x-1)(2x+7)-(x+1)(6x-5)=16`
`<=>6x^2+21x-2x-7-6x^2+5x-6x+5-16=0`
`<=>18x=-18`
`<=>x=-1`
Vậy `x = -1`
b) `(10x+9)x-(5x-1)(2x+3)=8`
`<=>10x^2+9x-10x^2-15x+2x+3-8=0`
`<=>-4x=5`
`<=>x=-5/4`
Vậy `x=-5/4`
c) `(3x-5)(7-5x)+(5x+2)(3x-2)-2=0`
`<=>21x-15x^2-35+25x+15x^2-10x+6x-4-2=0`
`<=>42x=-41`
`<=>x=-41/42`
Vậy `x=-41/42`
Giải thích các bước giải: