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1)3.x^2 - 75 = 0
3.x^2 - 3.25 = 0
3.(x^2-25)=0
x^2-5^2=0
(x-5)(x+5)=0
=> x-5=0 hoặc x+5=0
=> x=5 hoặc x=-5
1) \(3x^2-75=0\)
\(\Leftrightarrow3\left(x^2-25\right)=0\)
\(\Leftrightarrow x^2-25=0\)
\(\Leftrightarrow x^2=25\)
\(\Leftrightarrow x=\pm\sqrt{25}=\pm5\)
2) \(x^3+9x^2+27x+27=0\)
\(\Leftrightarrow\left(x+3\right)^3=0\)
\(\Leftrightarrow x+3=0\Leftrightarrow x=-3\)
3) \(x^3+3x^2+3x=0\)
\(\Leftrightarrow x^3+3x^2+3x+1=1\)
\(\Leftrightarrow\left(x+1\right)^3=1^3\)
\(\Leftrightarrow x+1=1\Leftrightarrow x=0\)
a)x^2-5=0
x^2=5
x=2.236
b) 3x^3-27x=0
=)x=3
C)5x(x-1)-x+1=0
=)x=1
D)2(x+5)-x^2-5×=0
=)x=2
\(3x^2-27x=0\)
\(3x\left(x-9\right)=0\)
\(\left[\begin{array}{nghiempt}x=0\\x-9=0\end{array}\right.\)
\(\left[\begin{array}{nghiempt}x=0\\x=9\end{array}\right.\)
\(\frac{2}{3}x\left(x^2-4\right)=0\)
\(\frac{2}{3}x\left(x-2\right)\left(x+2\right)=0\)
\(\left[\begin{array}{nghiempt}x=0\\x-2=0\\x+2=0\end{array}\right.\)
\(\left[\begin{array}{nghiempt}x=0\\x=2\\x=-2\end{array}\right.\)
a)\(3x^2-27x=0\)
\(3x\left(x-9\right)=0\)
\(\Rightarrow\left[\begin{array}{nghiempt}3x=0\\x-9=0\end{array}\right.\Rightarrow\left[\begin{array}{nghiempt}x=0\\x=9\end{array}\right.\)
b) \(\frac{2}{3}x\left(x^2-4\right)=0\)
\(\frac{2}{3}x\left(x+2\right)\left(x-2\right)=0\)
\(\Rightarrow\left[\begin{array}{nghiempt}\frac{2}{3}x=0\\x+2=0\\x-2=0\end{array}\right.\Rightarrow\left[\begin{array}{nghiempt}x=0\\x=-2\\x=2\end{array}\right.\)
a, 3x^2-27x=0
3x(x-9)=0
3x=0=>x=0
x-9=0=>x=9
b,2/3x(x^2-4)=0
2/3x=0=>x=0
x^2-4=0=>x=2
a, \(\left(x+2\right)^3-x\left(x^2+6x-3\right)=0\Leftrightarrow x^3+4x^2+4x+2x^2+8x+8-x^3-6x^2+3x=0\)
\(\Leftrightarrow15x+8=0\Leftrightarrow x=-\frac{8}{15}\)
b, \(\left(x+4\right)^3-x\left(x+6\right)^2=7\Leftrightarrow12x+64=0\Leftrightarrow x=-\frac{19}{4}\)làm tắt:P
Tự làm nốt nhé
3x3 - 27x = 0
3x.(x2 - 9) = 0
⇒3x = 0 hoặc x2 - 9= 0
TH1: 3x = 0
x = 0
TH 2: x2 - 9 = 0
x2 = 9
⇒x = \(\pm\)3
Vậy x ∈{0;3;\(-\)3}
3x2-27x=0
<=> 3x(x-9)=0
\(\Rightarrow\orbr{\begin{cases}3x=0\\x-9=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=9\end{cases}}}\)
Vậy x=0 hoặc x=9
Theo đầu bài ta thấy :
\(3x^2=27x\)( vì 2 số giống nhau trừ đi nhau bằng 0 )
\(x^2:x=27:3\)
\(x=9\)
Vậy x = 9
3x3 - 27 x = 0
=> 3x ( x2 - 9 ) = 0
\(=>\orbr{\begin{cases}3x=0\\x^2-9=0\end{cases}}\)
\(=>\orbr{\begin{cases}x=0\\x^2=9\end{cases}}\)
=> x = + 3
hoặc x = 0
\(3x^2-27x=0\)
\(\Leftrightarrow3x\left(x+3\right)\left(x-3\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=\pm3\end{cases}}\)