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\(a,\Leftrightarrow4x^2-20x-4x^2+7x-3=23\\ \Leftrightarrow-13x=-26\\ \Leftrightarrow x=2\\ b,\Leftrightarrow x^2+4x+4+4x^2-12x+9=5x^2+35x\\ \Leftrightarrow-43x=-13\\ \Leftrightarrow x=\dfrac{13}{43}\)
a) \(4x\left(x-5\right)-\left(x-1\right)\left(4x-3\right)=23\)
\(\Leftrightarrow4x^2-20x-4x^2+7x-3=23\)
\(\Leftrightarrow13x=-26\Leftrightarrow x=-2\)
b) \(\left(x+2\right)^2+\left(2x-3\right)^2=5x\left(x+7\right)\)
\(\Leftrightarrow x^2+4x+4+4x^2-12x+9=5x^2+35x\)
\(\Leftrightarrow43x=13\Leftrightarrow x=\dfrac{13}{43}\)
a)4×(x-5)-(x-1)×(4x-3)=5
=>4x-20-4x2+7x-3-5=0
=>-4x2+11x-28=0
=>-4(x2-\(\frac{11x}{4}\)+7)=0
=>\(-4\left(x-\frac{11}{8}\right)^2-\frac{327}{16}< 0\)
=>vô nghiệm
b) (3x-4)(x-2)=3x(x-9)-3
=>3x2-10x+8=3x2-27x-3
=>17x=-11
=>x=-11/17
c)(x-5)×(x-4)-(x+1)×(x-2)=7
=>x2-9x+20-x2+x+2=7
=>22-8x=7
=>-8x=-15
=>x=8/15
a) \(4x\left(5x+2\right)-\left(10x-3\right)\left(2x+7\right)=133\)
\(=\left(20x^2+8x\right)-\left(20x^2+64x-21\right)=133\)
\(=20x^2+8x-20x^2-64x+21=133\)
\(=-56x=112\)
\(\Leftrightarrow x=-2\)
b) \(4\left(x-1\right)\left(x+5\right)+\left(x+2\right)\left(x+5\right)=5\left(x-1\right)\left(x+2\right)\)
\(\Leftrightarrow\left(x+5\right)\left(4x-4+x+2\right)=5\left(x-1\right)\left(x+2\right)\)
\(\Leftrightarrow\left(x+5\right)\left(5x-2\right)=\left(5x-5\right)\left(x+2\right)\)
\(\Leftrightarrow5x^2+23x-10=5x^2+5x-10\)
\(\Leftrightarrow23x=5x\)
\(\Leftrightarrow18x=0\Leftrightarrow x=0\)
a) \(4x\left(5x+2\right)-\left(10x-3\right)\left(2x+7\right)=133\)
\(\Leftrightarrow20x^2+8x-\left[10x.\left(2x+7\right)-3.\left(2x+7\right)\right]=133\)
\(\Leftrightarrow20x^2+8x-\left(20x^2+70x-6x-21\right)=133\)
\(\Leftrightarrow20x^2+8x-20x^2-70x+6x+21=133\)
\(\Leftrightarrow8x-70x+6x=133-21\)
\(\Leftrightarrow-56x=112\)
\(\Leftrightarrow x=-\frac{112}{56}=-2\)
Vậy : \(x=-2\)
Rút gọn hết ta được :
a/ 41x - 17 = -21
=> 41x = -4 => x = 4/41
b/ 34x - 17 = 0
=> 34x = 17
=> x = 17/34 = 1/2
c/ 19x + 56 = 52
=> 19x = -4
=> x = -4/19
d/ 20x2 - 16x - 34 = 10x2 + 3x - 34
=> 10x2 - 19x = 0
=> x(10x - 19) = 0
=> x = 0
hoặc 10x - 19 = 0 => 10x = 19 => x = 19/10
Vậy x = 0 ; x = 19/10
Rút gọn hết ta được :
a/ 41x - 17 = -21
=> 41x = -4 => x = 4/41
b/ 34x - 17 = 0
=> 34x = 17
=> x = 17/34 = 1/2
c/ 19x + 56 = 52
=> 19x = -4
=> x = -4/19
d/ 20x 2 - 16x - 34 = 10x 2 + 3x - 34
=> 10x 2 - 19x = 0
=> x(10x - 19) = 0
=> x = 0 hoặc 10x - 19 = 0
=> 10x = 19
=> x = 19/10
Vậy x = 0 ; x = 19/10
a,sửa đề : đk x khác -2; 2
\(x^2+x-2+5x-10=12+x^2-4\)
\(\Leftrightarrow6x-20=0\Leftrightarrow x=\dfrac{10}{3}\left(tm\right)\)
b, \(3x-12+5+5x=105\Leftrightarrow8x=112\Leftrightarrow x=14\)
c, \(3x^2+14x-49=-\left(x^2+2x-15\right)\)
\(\Leftrightarrow4x^2+16x-34=0\Leftrightarrow x=\dfrac{-4\pm5\sqrt{2}}{2}\)
a. ko hỉu đề lắm :v
b.\(\dfrac{x-4}{5}+\dfrac{1+x}{3}=7\)
\(\Leftrightarrow\dfrac{3\left(x-4\right)+5\left(1+x\right)}{15}=\dfrac{105}{15}\)
\(\Leftrightarrow3\left(x-4\right)+5\left(1+x\right)=105\)
\(\Leftrightarrow3x-12+5+5x-105=0\)
\(\Leftrightarrow8x-112=0\)
\(\Leftrightarrow8x=112\)
\(\Leftrightarrow x=14\)
c.\(\left(3x-7\right)\left(x+7\right)=\left(5+x\right)\left(3-x\right)\)
\(\Leftrightarrow3x^2+21x-7x-49=15-5x+3x-x^2\)
\(\Leftrightarrow4x^2+16x-64=0\)
Nghiệm xấu lắm bạn
a) `4x(x-5)-(x-1)(x-3)=23`
`<=> 4x^2-20x-x^2+4x-3=23`
`<=>3x^2-16x-26=0`
`<=> x=(8+-\sqrt142)/3
*Nếu đề là: `4x(x-5)-(x-1)(4x-3)=23`
`<=> 4x^2-20x-4x^2+7x-3=23`
`<=>-13x=26`
`<=>x=-2`
b) `(x-5)(x-4)-(x+1)(x-2)=7`
`<=>x^2-9x+20-x^2+x+2=7`
`<=>-8x=-15`
`<=>x=15/8`
\(\text{a) 4x(x-5)-(x-1)(1x-3)=23}\)
\(\Leftrightarrow4x^2-20x-\left(x^2-3x-x+3\right)=23\)
\(\Leftrightarrow4x^2-20x-x^2+3x+x-3=23\)
\(\Leftrightarrow3x^2-16x-26=0\)
Giải phương trình bậc 2 một ẩn ta được :
\(x_1=\dfrac{8-\sqrt{142}}{3};x_2=\dfrac{8+\sqrt{142}}{3}\)