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\(\frac{x+2}{10}+\frac{x+2}{13}+\frac{x+2}{16}+\frac{x+2}{19}=0\)
\(\Leftrightarrow\left(x+2\right)\left(\frac{1}{10}+\frac{1}{13}+\frac{1}{16}+\frac{1}{19}\right)=0\)
Mà \(\frac{1}{10}+\frac{1}{13}+\frac{1}{16}+\frac{1}{19}\ne0\)
\(\Rightarrow x+2=0\Rightarrow x=-2\)
Vậy \(x=-2\)
\(3x\cdot\left(x+5\right)-2x-10=0\)
\(3x^2+15x-2x-10=0\)
\(3x^2-2x+5=0\)
\(3x^2-3x-5x+5=0\)
\(3x\left(x-1\right)-5\left(x-1\right)=0\)
\(\left(x-1\right)\left(3x-5\right)=0\)
- x -1 = 0 => x = 1
- 3x - 5 = 0 => 3x = 5 => x = \(\frac{5}{3}\)
x2 - 7x + 10 = 0
x2 - 7x = 0+ 10
x2 - 7x = 10
x ( x - 7 ) = 10
Tick nha
x10 + x5 +1 =0
x10 + x5 +1 +x2+x-x2-x = 0
x.(x9 -1 ) + x2 . ( x3-1) + ( x2 +x +1)=0
x( x3-1)(x3+1) + x2 . ( x3-1) + ( x2 +x +1)=0
(x-1)(x2+x+1)\([x\left(x^3+1\right)+x^2]\)+ ( x2 +x +1)=0
( x2 +x +1) . \([\left(x-1\right).\left(x^4+x+x^2\right)+1]\) =0
( x2 +x +1) \(\left(x^5+x^2+x^3-x^4-x-x^2\right)=0\)
( x2 +x +1) ( x5 -x4 + x3 ) =0
( x2 +x +1) x3 ( x2 - x +1 ) = 0
\(x^2-5x+10=0\)
\(\Leftrightarrow x^2-\frac{2.5x}{2}+\frac{25}{4}+\frac{15}{4}=0\)
\(\Leftrightarrow\left(x-\frac{5}{2}\right)^2+\frac{15}{4}=0\)
\(\Leftrightarrow\left(x-\frac{5}{2}\right)^2=-\frac{15}{4}\)( Vô lí )
Vậy ko tìm đc x
a) x3 - 19x - 30 = 0
\(\Leftrightarrow\)x3 + 5x2 + 6x - 5x2 - 25x - 30 = 0
\(\Leftrightarrow\)(x - 5)(x2 + 5x + 6) = 0
\(\Leftrightarrow\)(x - 5)(x2 + 2x + 3x + 6) = 0
\(\Leftrightarrow\)(x - 5)(x + 2)(x + 3) = 0
\(\Leftrightarrow\)x - 5 = 0 x = 5
hoặc x + 2 = 0 \(\Leftrightarrow\) x = -2
hoặc x + 3 = 0 x = -3
Vậy x = { -3; -2; 5 }
b) x(x + 4)(x + 6)(x + 10) + 128 = 0
\(\Leftrightarrow\)(x2 + 10x)(x2 + 10x + 24) + 128 = 0
Đặt x2 + 10x = y; ta có
y(y + 24) + 128 = 0
\(\Leftrightarrow\)y2 + 24y + 144 - 16 = 0
\(\Leftrightarrow\)(y + 12)2 - 16 = 0
\(\Leftrightarrow\)(y + 12 - 4)(y + 12 + 4) = 0
\(\Leftrightarrow\)(y + 8)(y + 16) = 0
\(\Leftrightarrow\)\(\orbr{\begin{cases}y+8=0\\y+16=0\end{cases}}\)\(\Leftrightarrow\)\(\orbr{\begin{cases}y=-8\\y=-16\end{cases}}\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x^2+10x=-8\\x^2+10x=-16\end{cases}}\)
#) TL :
a) x2 - 5x + 6 = 0
x2 - 2x - 3x + 6 = 0
x( x - 2) - 3( x - 2 ) = 0
( x - 3)( x -2 ) = 0
=> \(\orbr{\begin{cases}x-3=0\\x-2=0\end{cases}}\)
=>\(\orbr{\begin{cases}x=3\\x=2\end{cases}}\)
b) Đag bí :)
Chúc bn hok tốt :3
b) \(x^2+11x+10=0\)
\(\Leftrightarrow x^2+10x+x+10=0\)
\(\Leftrightarrow x\left(x+10\right)+\left(x+10\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x+10\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+1=0\\x+10=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-1\\x=-10\end{cases}}\)