\(\left(x^2-25\right)+\left(x-5\right)\left(2x-11\right)=0\)
\(\Leftrightarrow\left(x-5\right)\left(x+5\right)+\left(x-5\right)\left(2x-11\right)=0\)
\(\Leftrightarrow\left(x-5\right)\left(x+5+2x-11\right)=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}x-5=0\\3x-6=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=5\\x=2\end{matrix}\right.\)
Vậy x =5 và x=2 là nghiệm của pt
giải phương trình, tiếp
\(\left(x+1\right)^2=4\left(x^2-2x+1\right)^2\)
\(\left(2x+7\right)^2=9\left(x+2\right)^2\)
\(4\left(2x+7\right)^2=9\left(x+3\right)^2\)
\(\frac{1}{9}\left(x-3\right)^2-\frac{1}{25}\left(x+5\right)^2=0\)
\(2x^2-6x+1=0\)
\(3x^2+12x-66=0\)
\(9x^2-30x+225=0\)
\(3x^2-7x+1=0\)
\(3x^2-7x+8=0\)
\(x^2-4x+1=0\)
\(2x^2-6x+1=0\)
Giai phường trình sau:
a, \(3x^2+2x-1=0\) e, \(4x^2-12x+5=0\) i,\(2x^2+5x-3=0\)
b,\(x^2-5x+6=0\) f, \(2x^2+5x+3=0\) j,\(x^2+6x-16=0\)
c,\(x^2-3x+2=0\) g,\(x^2+x-2=0\)
d,\(2x^2-6x+1=0\) h, \(x^2-4x+3=0\)
Giải phương trình
1) 5(x - 3) - 4 = 2(x - 1)
2) 5(x - 3) - 2(x - 5) = x-2
3) 3(x - 2) - 14x = 2(3-) + 1
4) (x + 1)²+ 2x = x(x + 1) + 6
5) 3 - 4x(3 - 2x) = 8x² + x - 30
6) x²-x(5 - x) = 8
7) (x - 1)² - 36 = 0
8) (3x - 1)(4x - 3) + 2x(6x - 1) = 2(2x + 7)
9) (x - 2)² + 4(x - 3) =(x² + x - 3)
10) (x - 2)² – 2(x + 1) = (x - 1)(x - 2)
11) (x - 2)² + 3(x - 5) = x² + 3x - 3
12)(x - 3)² + (x + 3)² = 2 (x² +9)
13) (3x - 1)2 + (3x +1)² = 2(9x² + 4) + 1
14) (x - 1)(x - 2) + (2x + 1) = 5x²
1. Giair phương trình sau :
a.(2x-1) = x - 3x2
b. \(\frac{x+5}{x^2-5x}-\frac{x-5}{2x^2+10}=\frac{x+25}{2x^2-50}\)
Bài 3: Giải các phương trình sau:
a) (2x+1)(x-1) = 0 b) (x +
)(x-
) = 0 c) (3x-1)(2x-3)(x+5) = 0 d) 3x-15 = 2x(x-5)
e) x2 – x = 0 f) x2 – 2x = 0 g) x2 – 3x = 0 h) (x+1)(x+2) =(2-x)(x+2)
C; ( x - 1 )2 + 2 ( 1 - x2 ) = 0
D; \(\dfrac{3x}{2x-4}\) - \(\dfrac{1}{x}\) = \(\dfrac{2}{x^2-2x}\)
(2x-5)(x+1)=0
(x+2)(x2-2x+4)-x(x-3)(x+3)=26
Bài 3: Giải các phương trình sau:
a) 2x – 5 = 0 b) 12 – 3x = 3( 4-x) c) 2(x – 3) = 2x-1
