x^2 +1/4 =1/2
làm ơn giúp mình với
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\(\frac{4}{5}.x-x-\frac{3}{2}.x+\frac{5}{6}=\frac{1}{2}-\frac{4}{3}\)đề nảy hả
\(\frac{4}{5}x-x-\frac{3}{2}x+\frac{5}{6}=\frac{1}{2}-\frac{4}{3}\)
\(-\frac{1}{5}x-\frac{3}{2}x=-\frac{5}{6}-\frac{5}{6}\)
\(-\frac{17}{10}x=-\frac{10}{6}\)
\(x=\frac{50}{51}\)
1) \(A=36x^2+12x+1=\left(6x+1\right)^2\ge0\)
\(minA=0\Leftrightarrow x=-\dfrac{1}{6}\)
2) \(B=9x^2+6x+1=\left(3x+1\right)^2\ge0\)
\(minB=0\Leftrightarrow x=-\dfrac{1}{3}\)
4) \(D=x^2-4x+y^2-8y+6=\left(x-2\right)^2+\left(y-4\right)^2-14\ge-14\)
\(minD=-14\Leftrightarrow\left\{{}\begin{matrix}x=2\\y=4\end{matrix}\right.\)
3) \(C=\left(x+1\right)\left(x-2\right)\left(x-3\right)\left(x-6\right)=\left(x^2-5x-6\right)\left(x^2-5x+6\right)=\left(x^2-5x\right)^2-36\ge-36\)
\(minC\Leftrightarrow\left[{}\begin{matrix}x=0\\x=5\end{matrix}\right.\)
5) \(E=\left(x-8\right)^2+\left(x+7\right)^2=2x^2-2x+113=2\left(x-\dfrac{1}{2}\right)^2+\dfrac{225}{2}\ge\dfrac{225}{2}\)
\(minE=\dfrac{225}{2}\Leftrightarrow x=\dfrac{1}{2}\)
Answer:
\(\left(x-\dfrac{1}{2}\right)^2=4\)
\(\left(x-\dfrac{1}{2}\right)^2=\left(\pm2\right)^2\)
TH1: \(\left(x-\dfrac{1}{2}\right)^2=2^2\)
\(x-\dfrac{1}{2}=2\)
\(x=2+\dfrac{1}{2}\)
\(x=\dfrac{5}{2}\)
TH2: \(\left(x-\dfrac{1}{2}\right)^2=\left(-2\right)^2\)
\(x-\dfrac{1}{2}=-2\)
\(x=-2+\dfrac{1}{2}\)
\(x=\dfrac{-3}{2}\)
\(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{5}{4}\\x=\dfrac{-3}{2}\end{matrix}\right.\)
1) Thay x = -8 , ta có ;
(-8) - 2 x (-8) - 3 x (-8) - 4 x (-8 ) - 5 x (-8) = 104
2) Thay x = -8 , ta có ;
(-8 + 1)-2(-8 + 1)-3( -8 + 1 )- 4( -8 + 1 ) - 5( -8 + 1 ) =91
Đúng thì tick ko đúng thì thôi
\(x^2+\dfrac{1}{4}=\dfrac{1}{2}\\ \Rightarrow x^2=\dfrac{1}{2}-\dfrac{1}{4}\\ \Rightarrow x^2=\dfrac{2}{4}-\dfrac{1}{4}\\ \Rightarrow x^2=\dfrac{1}{4}=\left(\pm\dfrac{1}{2}\right)^2\\ \Rightarrow x=\pm\dfrac{1}{2}\)