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a)A=\(x^5-\dfrac{1}{2}x+7x^3-2x+\dfrac{1}{5}x^3+3x^4-x^5+\dfrac{2}{5}x^4+15\)
=\(=\dfrac{-5}{2}x+\dfrac{36}{5}x^3+\dfrac{17}{5}x^4+15\)
b)B=\(3x^2-10+\dfrac{2}{5}x^3+7x-x^2+8+7x^2\)
\(=9x^2+\dfrac{2}{5}x^3+7x+2\)
c)C=\(\dfrac{1}{7}x-2x^4+5x+6\)
a) Thế \(x=4\) vào biểu thức ta được:
\(A=2\left|4-2\right|-3\left|1-4\right|\\ A=2\left|2\right|-3\left|-3\right|\\ A=2.2-3.3\\ A=4-9\\ A=-5\)
b) Ta có \(\left|x\right|=\dfrac{1}{2}\Rightarrow\left\{{}\begin{matrix}x=\dfrac{1}{2}\\x=-\dfrac{1}{2}\end{matrix}\right.\)
TH1: Thế \(x=\dfrac{1}{2}\) vào biểu thức ta được:
\(B=\dfrac{5.\left(\dfrac{1}{2}\right)^2-7.\dfrac{1}{2}+1}{3.\dfrac{1}{2}-1}\\ B=\dfrac{5.\dfrac{1}{4}-\dfrac{7}{2}+1}{\dfrac{3}{2}-1}\\ B=\dfrac{\dfrac{5}{4}-\dfrac{7}{2}+1}{\dfrac{1}{2}}\\ B=\dfrac{-\dfrac{5}{4}}{\dfrac{1}{2}}\\ B=-\dfrac{5}{2}\)
TH2: Thế \(x=-\dfrac{1}{2}\) vào biểu thức ta được:
\(B=\dfrac{5.\left(-\dfrac{1}{2}\right)^2-7.\left(-\dfrac{1}{2}\right)+1}{3.\left(-\dfrac{1}{2}\right)-1}\\ B=\dfrac{5.\left(\dfrac{1}{2}\right)^2+\dfrac{7}{2}+1}{-\dfrac{3}{2}-1}\\ B=\dfrac{5.\dfrac{1}{4}+\dfrac{7}{2}+1}{-\dfrac{5}{2}}\\ B=\dfrac{\dfrac{5}{4}+\dfrac{7}{2}+1}{-\dfrac{5}{2}}\\ B=\dfrac{23}{\dfrac{4}{-\dfrac{5}{2}}}\\ B=-\dfrac{23}{10}\)
Gửi em.
a/ \(\dfrac{1}{3}-\dfrac{2}{5}+3x=\dfrac{3}{4}\)
\(\Leftrightarrow\dfrac{-1}{15}+3x=\dfrac{3}{4}\)
\(\Leftrightarrow3x=\dfrac{49}{60}\)
\(\Leftrightarrow x=\dfrac{49}{180}\)
Vậy....
b/ \(\dfrac{3}{2}-1+4x=\dfrac{2}{3}-7x\)
\(\Leftrightarrow\dfrac{1}{2}+4x=\dfrac{2}{3}-7x\)
\(\Leftrightarrow4x+7x=\dfrac{2}{3}-\dfrac{1}{2}\)
\(\Leftrightarrow11x=\dfrac{1}{6}\)
\(\Leftrightarrow x=\dfrac{1}{66}\)
Vậy....
c/ \(2\left(\dfrac{3}{4}-5x\right)=\dfrac{4}{5}-3x\)
\(\Leftrightarrow\dfrac{3}{2}-10x=\dfrac{4}{5}-3x\)
\(\Leftrightarrow-10x+3x=\dfrac{4}{5}-\dfrac{3}{2}\)
\(\Leftrightarrow-7x=-\dfrac{7}{10}\)
\(\Leftrightarrow x=-\dfrac{1}{10}\)
Vậy .....
d/ \(4\left(\dfrac{1}{2}-x\right)-5\left(x-\dfrac{3}{10}\right)=\dfrac{7}{4}\)
\(\Leftrightarrow2-4x-5x-\dfrac{3}{2}=\dfrac{7}{4}\)
\(\Leftrightarrow2+\left(-4x\right)+\left(-5x\right)+\left(\dfrac{-3}{2}\right)=\dfrac{7}{4}\)
\(\Leftrightarrow-9x+\dfrac{1}{2}=\dfrac{7}{4}\)
\(\Leftrightarrow-9x=\dfrac{5}{4}\)
\(\Leftrightarrow x=-\dfrac{5}{36}\)
a) A= \(3x^2 - 2x+1\) với |x| = \(\dfrac{1}{2}\)
Với |x| = \(\dfrac{1}{2}\) \(\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=-\dfrac{1}{2}\end{matrix}\right.\)
Khi \(x=\dfrac{1}{2}\) ⇒ \(A=3.\left(\dfrac{1}{2}\right)^2-2.\dfrac{1}{2}+1=\dfrac{3}{4}-1+1=\dfrac{3}{4}\)
Khi \(x=-\dfrac{1}{2}\) ⇒ \(A=3.\left(-\dfrac{1}{2}\right)^2-2.\left(-\dfrac{1}{2}\right)+1=\dfrac{3}{4}+1+1=\dfrac{3}{4}+2=\dfrac{11}{4}\)
Vậy...
a: \(P\left(x\right)=-5x^4+2x^2-8x+\dfrac{1}{2}\)
\(Q\left(x\right)=4x^4+2x^3-5x^2-6x+\dfrac{3}{2}\)
b: \(A\left(x\right)=-5x^4+2x^2-8x+\dfrac{1}{2}+4x^4+2x^3-5x^2-6x+\dfrac{3}{2}=-x^4+2x^3-3x^2-14x+2\)
\(B\left(x\right)=-5x^4+2x^2-8x+\dfrac{1}{2}-4x^4-2x^3+5x^2+6x-\dfrac{3}{2}=-9x^4-2x^3+7x^2-2x-1\)
a: \(=2x^3:\dfrac{-3}{2}x+4x:\dfrac{3}{2}x-5:\dfrac{3}{2}\)
=-4/3x^2+8/3-10/3
=-4/3x^2-2/3
d: \(\dfrac{3x^3-5x+2}{x-3}=\dfrac{3x^3-9x^2+9x^2-27x+22x-66+68}{x-3}\)
\(=3x^2+9x+22+\dfrac{68}{x-3}\)
Thay x = 4 vào \(\dfrac{5x^2-7x+1}{3x-1}\):
\(\dfrac{5.4^2-7.4+1}{3.4-1}\) \(=\dfrac{5.16-28+1}{12-1}\)\(=\dfrac{90-28+1}{11}\)\(=\dfrac{63}{11}\).