a) ( 3x + 2 )2 - ( x - 3 )2 = 5x + 38
Những câu hỏi liên quan
C1: Giải phương trình:
a) (3x+2)^2 - (3x-2)^2 = 5x + 38
b) (x+1) (x^2-2x+1) - 2x = 2(x-1)(x+1)
c) 3(x-2)^2 + 9(x-1) = 3(x^2+x-3)
e) (x-1)^3 - x(x+1)^2 = 5x + 38
Xem chi tiết
a) \(\left(3x+2\right)^2-\left(3x-2\right)^2=5x+38\)
\(\Leftrightarrow\left[\left(3x+2\right)-\left(3x-2\right)\right]\left[\left(3x+2\right)+\left(3x-2\right)\right]=5x+38\)
\(\Leftrightarrow\left(3x+2-3x+2\right)\left(3x+2+3x-2\right)=5x+38\)
\(\Leftrightarrow4\cdot6x=5x+38\)
\(\Leftrightarrow24x-5x=38\)
\(\Leftrightarrow19x=38\Leftrightarrow x=\dfrac{38}{19}=2\)
Vậy \(S=\left\{2\right\}\)
b) \(\left(x+1\right)\left(x^2-2x+1\right)-2x=2\left(x-1\right)\left(x+1\right)\)
\(\Leftrightarrow x^3-2x^2+x+x^2-2x+1-2x=2\left(x^2-1\right)\)
\(\Leftrightarrow x^3-2x^2+x+x^2-2x+1-2x=2x^2-2\)
\(\Leftrightarrow x^3-2x^2+x+x^2-2x+1-2x-2x^2+2=0\)
\(\Leftrightarrow x^3-3x^2-3x+3=0\)
PT vô nghiệm , không tìm được x
Vậy \(S=\varnothing\)
c) \(3\left(x-2\right)^2+9\left(x-1\right)=3\left(x^2+x-3\right)\)
\(\Leftrightarrow3\left(x^2-2x+4\right)+9\left(x-1\right)=3\left(x^2+x-3\right)\)
\(\Leftrightarrow3x^2-6x+12+9x-9=3x^2+3x-9\)
\(\Leftrightarrow3x^2-6x+12+9x-9-3x^2-3x+9=0\)
\(\Leftrightarrow0x+12=0\)
PT vô nghiệm
Vậy \(S=\varnothing\)
Câu cuối tương tự
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C1: Giải phương trình:
a) (3x+2)^2 - (3x-2)^2 = 5x + 38
b) (x+1) (x^2-2x+1) - 2x = 2(x-1)(x+1)
c) 3(x-2)^2 + 9(x-1) = 3(x^2+x-3)
e) (x-1)^3 - x(x+1)^2 = 5x + 38 plz
Xem chi tiết
C1: Giải phương trình:
a) (3x+2)^2 - (3x-2)^2 = 5x + 38
b) (x+1) (x^2-2x+1) - 2x = 2(x-1)(x+1)
c) 3(x-2)^2 + 9(x-1) = 3(x^2+x-3)
e) (x-1)^3 - x(x+1)^2 = 5x + 38 plz
Xem chi tiết
a, (3x+2)2 - (3x-2)2 =5x+38 b, 3(x-2)2 +9(x-1) =3(x2+x-3)
a: =>9x^2+12x+4-9x^2+12x-4=5x+38
=>24x=5x+38
=>19x=38
=>x=2
b: =>3x^2-12x+12+9x-9=3x^2+3x-9
=>-3x+3=3x-9
=>-6x=-12
=>x=2
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a, (3x+2)2 - (3x-2)2 =5x+38 b, 3(x-2)2 +9(x-1) =3(x2+x-3)
c, (x+3)3 -(x-3)2 -(x-3)2 =6x+18 d, (x-1)3-x(x+1)2=5x(2-x)-11(x+2)
e, (x+1)(x2-x+1)-2x=x(x-1)(x+1) f, (x-2)3+(3x-1)(3x+1)=(x+1)3
a: =>9x^2+12x+4-9x^2+12x-4=5x+38
=>24x=5x+38
=>19x=38
=>x=2
e: =>x^3+1-2x=x^3-x
=>-2x+1=-x
=>-x=-1
=>x=1
f: =>x^3-6x^2+12x-8+9x^2-1=x^3+3x^2+3x+1
=>12x-9=3x+1
=>9x=10
=>x=10/9
b: \(\Leftrightarrow3x^2-12x+12+9x-9=3x^2+3x-9\)
=>-3x+3=3x-9
=>-6x=-12
=>x=2
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Giải các phương trình sau:
a) 4x – 6 = 4 - 2(x+5)
b)x( x – 2) – x(x + 3) = 24
c) 2(x + 4) – 3(x – 2) = 5
d) x2 + 2x – 15 = 0
đ) 10x2 – 5x = 0
e)(3x + 2)2 – (3x – 2)2 = 5x + 38
Xem chi tiết
Tìm x biết
a, 3(1-4x)(x-1)+4(3x+2)(x+3)=38
b, 5(2x+3)(x+2)-2(5x-4)(x-1)=75
C, 2x^2+3(x-1)(x+1)=5x(x+1)
d, (8-5x)(x+2)+4(x-2)(x+1)+2(x-2)(x+2)=0
Giúp mk vs ạ mk đang cần
Tìm x
a) Ta có: \(3\left(1-4x\right)\left(x-1\right)+4\left(3x+2\right)\left(x+3\right)=38\)
\(\Leftrightarrow3\left(x-1-4x^2+4x\right)+4\left(3x^2+9x+2x+6\right)=38\)
\(\Leftrightarrow3\left(-4x^2+5x-1\right)+4\left(3x^2+11x+6\right)-38=0\)
\(\Leftrightarrow-12x^2+15x-3+12x^2+44x+24-38=0\)
\(\Leftrightarrow59x-17=0\)
\(\Leftrightarrow59x=17\)
hay \(x=\frac{17}{59}\)
Vậy: \(x=\frac{17}{59}\)
b) Ta có: \(5\left(2x+3\right)\left(x+2\right)-2\left(5x-4\right)\left(x-1\right)=75\)
\(\Leftrightarrow5\left(2x^2+4x+3x+6\right)-2\left(5x^2-5x-4x+4\right)-75=0\)
\(\Leftrightarrow5\left(2x^2+7x+6\right)-2\left(5x^2-9x+4\right)-75=0\)
\(\Leftrightarrow10x^2+35x+30-10x^2+18x-8-75=0\)
\(\Leftrightarrow53x-53=0\)
\(\Leftrightarrow53x=53\)
hay x=1
Vậy: x=1
c) Ta có: \(2x^2+3\left(x-1\right)\left(x+1\right)=5x\left(x+1\right)\)
\(\Leftrightarrow2x^2+3x^2-3=5x^2+5x\)
\(\Leftrightarrow5x^2-3-5x^2-5x=0\)
\(\Leftrightarrow-3-5x=0\)
\(\Leftrightarrow-5x=-3\)
hay \(x=\frac{3}{5}\)
Vậy: \(x=\frac{3}{5}\)
d) Ta có: \(\left(8-5x\right)\left(x+2\right)+4\left(x-2\right)\left(x+1\right)+2\left(x-2\right)\left(x+2\right)=0\)
\(\Leftrightarrow8x+16-5x^2-10x+4\left(x^2+x-2x-2\right)+2\left(x^2-4\right)=0\)
\(\Leftrightarrow-5x^2-2x+16+4x^2-4x-8+2x^2-8=0\)
\(\Leftrightarrow x^2-6x=0\)
\(\Leftrightarrow x\left(x-6\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x-6=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=6\end{matrix}\right.\)
Vậy: \(x\in\left\{0;6\right\}\)
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C1: 3(1-4x)(x-1)+4(3x+2)(x+3)=38
C2: 2x2+3(x-1)(x+1)=5x(x+1)
1. giải phương trình
a, 7x-5=13-5x
b, 5(2x-3)-4(5x-70)=19-2(x+11)
c, \(\frac{3x-7}{2}+\frac{x+1}{3}\)=-16
d, (x-1)2+(x+3)2=2(x-2)(x+1)+38