x2 - 8x + 55 = 0
bài 5:
a) x2-10x+21=0
b)x2+8x+12=0
c) x2+9x+20=0
\(a.x^2-7x-3x+21=0\Leftrightarrow\left(x^2-7x\right)-\left(3x-21\right)=0\)
\(\Leftrightarrow x\left(x-7\right)-3\left(x-7\right)=0\Leftrightarrow\left(x-3\right)\left(x-7\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3=0\\x-7=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=7\end{matrix}\right.\)
\(b.x^2+6x+2x+12=0\Leftrightarrow\left(x^2+6x\right)+\left(2x+12\right)=0\)
\(\Leftrightarrow x\left(x+6\right)+2\left(x+6\right)=0\Leftrightarrow\left(x+2\right)\left(x+6\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=-6\end{matrix}\right.\)
\(c.x^2+4x+5x+20=0\Leftrightarrow\left(x^2+4x\right)+\left(5x+20\right)=0\)
\(\Leftrightarrow x\left(x+4\right)+5\left(x+4\right)=0\Leftrightarrow\left(x+5\right)\left(x+4\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=-4\end{matrix}\right.\)
C =
D = x-4+(x>4)
\(C=\sqrt{9x^2}-2x=\left|3x\right|-2x=-3x-2x=-5x\left(x< 0\right)\)
\(D=x-4+\sqrt{16-8x+x^2}\left(x>4\right)\)
\(=x-4+\sqrt{\left(x-4\right)^2}\)
\(=x-4+\left|x-4\right|\)
\(=x-4+x-4\)
\(=2x-8\)
\(C=\sqrt{9x^2}-2x=-3x-2x=-5x\)
\(D=x-4+\sqrt{x^2-8x+16}=x-4+x-4=2x-8\)
Giải các pt sau:
a) 3X2 + 8X + 4 = 0
b) X2 + 9X + 18 = 0
c) X2 + 12 + 32 = 0
a) \(\text{Δ}=8^2-4.3.4=16\)
\(\left[{}\begin{matrix}x=\dfrac{-8+4}{2.3}=-\dfrac{2}{3}\\x=\dfrac{-8-4}{2.3}=-2\end{matrix}\right.\)
b) \(\text{Δ}=9^2-4.1.18=9\)
\(\left[{}\begin{matrix}x=\dfrac{-9+3}{2}=-3\\x=\dfrac{-9-3}{2}=-6\end{matrix}\right.\)
c) \(x^2+12+32=0\)
\(x^2=-44\)
mà \(x^2\ge0\forall x\)
\(\Rightarrow\) pt vô nghiệm
x2-8x-9=0
\(x^2-8x-9=0\\ x^2+x-9x-9=0\\ x\left(x+1\right)-9\left(x+1\right)=0\\ \left\{{}\begin{matrix}x-3=0\\x+3=0\\x-1=0\end{matrix}\right.\left\{{}\begin{matrix}x=3\\x=-3\\x=1\end{matrix}\right.\)
Tìm x biết:
a) x 6 + 2 x 3 +1 = 0; b) x(x - 5) = 4x - 20;
c) x 4 -2 x 2 =8-4 x 2 ; d) ( x 3 - x 2 ) - 4 x 2 + 8x-4 = 0.
a) x = -1. b) x = 4 hoặc x = 5.
c) x = ± 2 . d) x = 1 hoặc x = 2.
Giải các phương trình sau:
a) x − 1 2 − 2 x + 5 2 = 0 ;
b) x 2 − 1 − x 2 − 2 x − 1 2 = 0 ;
c) x 3 + 8 = − 2 x x + 2 ;
d) 4 x 2 + 8 x − 5 = 0 .
Tìm x biết 3 x 2 + 8x + 5 = 0
A. x = - 5 3 ; x = - 1
B. x = - 5 3 ; x = 1
C. x = 5 3 ; x = - 1
D. x = 5 3 ; x = 1
Ta có 3 x 2 + 8x + 5 = 0
ó 3 x 2 + 3x + 5x + 5 = 0 ó 3x(x + 1) + 5(x + 1) = 0
ó (3x + 5)(x + 1) = 0
Vậy x = - 5 3 ; x = - 1
Đáp án cần chọn là: A
Giải phương trình :
1) √x2+x+2 + 1/x= 13-7x/2
2) x2 + 3x = √1-x + 1/4
3) ( x+3)√48-x2-8x= 28-x/ x+3
4) √-x2-2x +48= 28-x/x+3
5) 3x2 + 2(x-1)√2x2-3x +1= 5x + 2
6) 4x2 +(8x - 4)√x -1 = 3x+2√2x2 +5x-3
7) x3/ √16-x2 + x2 -16 = 0
Tìm x :
a ) 2(x2+8x+16) -x2+4 = 0
b ) x3-9x2+19x-11=0
x3 - 9x2 + 19x - 11 = 0
<=> (x - 1)(x2 - 8x + 11) = 0
<=> x - 1 = 0
<=> x = 1