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\(\left(x+4\right)^2-\left(x+1\right)\left(x+1\right)=16.\)
\(\Leftrightarrow x^2+8x+16-x^2-2x-1=16.\)
\(\Leftrightarrow6x+15=16.\Leftrightarrow x=\dfrac{1}{6}.\)
\(a,\left(x+8\right)\left(x+6\right)-x^2=104\)
\(\Rightarrow x^2+14x+48-x^2=104\)
\(\Rightarrow14x=56\)
\(\Rightarrow x=4\)
Vậy x=4
1) \(2x^2+5x-3=0\)
\(\Leftrightarrow2x^2+6x-x-3=0\)
\(\Leftrightarrow2x\left(x+3\right)-\left(x+3\right)=0\)
\(\Leftrightarrow\left(x+3\right)\left(2x-1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x+3=0\\2x-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-3\\x=\frac{1}{2}\end{cases}}}\)
\(2x^2+5x-3=0\)
\(\Leftrightarrow2x^2+2x+3x-3=0\)
\(\Leftrightarrow\left(x-\frac{1}{2}\right)\left(x+3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{2}\\x=-3\end{cases}}\)
a: \(\left(x^2+x\right)^2+2\left(x^2+x\right)-8=0\)
\(\Leftrightarrow\left(x^2+x+4\right)\left(x^2+x-2\right)=0\)
\(\Leftrightarrow\left(x+2\right)\left(x-1\right)=0\)
hay \(x\in\left\{-2;1\right\}\)
b: \(\Leftrightarrow\left(x-1\right)\left(x-3\right)\left(x+2\right)\left(x+4\right)+24=0\)
\(\Leftrightarrow\left(x^2+x-2\right)\left(x^2+x-12\right)+24=0\)
\(\Leftrightarrow\left(x^2+x\right)^2-14\left(x^2+x\right)+48=0\)
\(\Leftrightarrow\left(x^2+x-6\right)\left(x^2+x-8\right)=0\)
hay \(x\in\left\{-3;2;\dfrac{-1+\sqrt{33}}{2};\dfrac{-1-\sqrt{33}}{2}\right\}\)
Bài 3. a) x(x-2)-2x+x=0
<=> x2-2x-2x+x=0
<=>x2-4x+x=0
<=>x2-3x=0
<=> x(x-3)=0 => x=0; x=3.
\(\left(x+3\right)^2-\left(x+3\right)=0\)
\(\left(x+3\right).\left[\left(x+3\right)-1\right]=0\)
\(\left(x+3\right).\left(x+2\right)=0\)
\(=>\orbr{\begin{cases}x+3=0\\x+2=0\end{cases}=>\orbr{\begin{cases}x=-3\\x=-2\end{cases}}}\)
Vậy ...
P/S: mk mới lớp 7 sai sót mong bỏ qua
\(=\left(4.26\right)^2-4^2\)
\(=4^2.26^2-4^2\)
\(=4^2.\left(26-1\right)\)
\(=4^2.25=16.25=400\)