D)5 + 76/x^2-16 = 2x-1/x+4 - 3x-1/4-x
5+(76/x^2-16)=(2x-1/x+4)-(3x-1/4-x)
1)\(5+\dfrac{76}{x^2-16}=\dfrac{2x-1}{x+4}-\dfrac{3x-1}{4-x}\)
giải các phương trình sau:
a)x/2(x-3)+x/2(x+1)=2x/(x=1)(x-3)
b)5+76/x^2-16=2x-1/x+4-3x-1/4-x
khó gì fan gao bạc
\(5+\frac{76}{x^2-16}=\frac{2x-1}{x+4}-\frac{3x-1}{4-x}\)
Giải pt
5+\(\dfrac{76}{x^2-16}\) = \(\dfrac{2x-1}{x+4}\) - \(\dfrac{3x-1}{4-1}\)
5.( x+4).(x-4)+76=(2x-1).(x-4)+(3x-1).(x+4)
\(\left(x+4\right)\left(x-4\right)+76=\left(2x-1\right)\left(x-4\right)+\left(3x-1\right)\left(x+4\right)\\ \Leftrightarrow x^2-16+76=2x^2-x-8x+4+3x^2-x+12x-4\\ \Leftrightarrow x^2+60=5x^2+2x\\ \Leftrightarrow-4x^2-2x+60=0\\ \Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1+\sqrt{241}}{4}\\x=\dfrac{-1-\sqrt{241}}{4}\end{matrix}\right.\)
\(5.\left(x+4\right)\left(x-4\right)+76=\left(2x-1\right)\left(x-4\right)+\left(3x-1\right)\left(x+4\right)\\ \Leftrightarrow5\left(x^2-16\right)+76=2x^2-x-8x+4+3x^2-x+12x-4\\ \Leftrightarrow5x^2-80+76=5x^2+2x\\ \Leftrightarrow\left(5x^2-5x^2\right)-2x+\left(-80+76\right)=0\\ \Leftrightarrow-2x-4=0\\ \Leftrightarrow-2x=4\\ \Leftrightarrow x=-2\)
Tìm x biết :
a, 4.(18 - 5x) - 12.(3x - 7) = 15.(2x - 16) - 6(x + 14)
b, 5.(3x + 5) - 4.(2x - 3) = 5x + 3.(2x + 12) + 1
c, 2.(5x - 8) - 3.(4x - 5) = 4.(3x - 4) + 11
d, (3x + 2)(2x + 9) - (x + 2)(6x + 1) = (x + 1) - (x - 6)
e, (8x - 3)(3x + 2) - (4x + 7)(x + 4)= (2x + 1)(5x - 1) - 33
Noob ơi, bạn phải đưa vào máy tính ý solve cái là ra x luôn, chỉ tội là đợi hơi lâu
a, 4.(18 - 5x) - 12(3x - 7) = 15(2x - 16) - 6(x + 14)
=> 72 - 20x - 36x + 84 = 30x - 240 - 6x - 84
=> (72 + 84) + (-20x - 36x) = (30x - 6x) + (-240 - 84)
=> 156 - 56x = 24x - 324
=> 24x + 56x = 324 + 156
=> 80x = 480
=> x = 480 : 80 = 6
Vậy x = 6
b, 5(3x + 5) - 4(2x - 3) = 5x + 3(2x + 12) + 1
=> 15x + 25 - 8x + 12 = 5x + 6x + 36 + 1
=> (15x - 8x) + (25 + 12) = 11x + 37
=> 7x + 37 = 11x + 37
=> 11x - 7x = 0
=> x = 0
a) 2x2 + 2x(5 - x)=12 d) 2(x + 5) - x2 - 5x = 0 g) (3x + 1)2 - (x+1) = 0
b) (5 - 2x)2 - 16 = 0 e) (2x - 1)2 - 4(x + 7)(x - 7) = 0 h) x2 + 7x - 8 = 0
c) 3x2 - 3x(x-2) = 36 f) (x + 4)2 - (x + 1)(x - 1) = 16 i) -2x2 +13x -15 = 0
mik cần gấp, cảm ơn mọi người.
\(a,\Leftrightarrow2x^2+10x-2x^2=12\Leftrightarrow x=\dfrac{12}{10}=\dfrac{6}{5}\\ b,\Leftrightarrow\left(5-2x-4\right)\left(5-2x+4\right)=0\\ \Leftrightarrow\left(1-2x\right)\left(9-2x\right)=0\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=\dfrac{9}{2}\end{matrix}\right.\\ c,\Leftrightarrow3x^2-3x^2+6x=36\Leftrightarrow x=6\\ d,\Leftrightarrow2\left(x+5\right)-x\left(x+5\right)=0\\ \Leftrightarrow\left(2-x\right)\left(x+5\right)=0\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-5\end{matrix}\right.\\ e,\Leftrightarrow4x^2-4x+1-4x^2+196=0\\ \Leftrightarrow-4x=-197\Leftrightarrow x=\dfrac{197}{4}\)
\(f,\Leftrightarrow x^2+8x+16-x^2+1=16\Leftrightarrow8x=-1\Leftrightarrow x=-\dfrac{1}{8}\\ g,Sửa:\left(3x+1\right)^2-\left(x+1\right)^2=0\\ \Leftrightarrow\left(3x+1-x-1\right)\left(3x+1+x+1\right)=0\\ \Leftrightarrow2x\left(4x+2\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-\dfrac{1}{2}\end{matrix}\right.\\ h,\Leftrightarrow x^2+8x-x-8=0\\ \Leftrightarrow\left(x+8\right)\left(x-1\right)=0\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-8\end{matrix}\right.\\ i,\Leftrightarrow2x^2-13x+15=0\\ \Leftrightarrow2x^2+2x-15x-15=0\\ \Leftrightarrow\left(x+1\right)\left(2x-15\right)=0\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=\dfrac{15}{2}\end{matrix}\right.\)
a) (2x-3)²=9
b) (x²-16)²-16(x-4)²=0
c) (2x/5-3/4)²-3x/5-1/4=0
d) 1/16(x-2)²=9/25(5/3x-5)²