(x+1/5)2 + 17/25 = 26/25
x = ????
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(x+1/5)^2=26/25-17/25=9/25
x+1/5=\(\sqrt{\dfrac{9}{25}}\)
=3/5 =>x=3/5-1/5=2/5
\(\left(x+\dfrac{1}{5}\right)^2=\dfrac{9}{25}\)
\(\left[{}\begin{matrix}x+\dfrac{1}{5}=\dfrac{3}{5}\\x+\dfrac{1}{5}=-\dfrac{3}{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{5}\\x=-\dfrac{4}{5}\end{matrix}\right.\)
\(\left(x+\dfrac{1}{5}\right)^2=\dfrac{26}{25}+\dfrac{17}{25}\\ \left(x+\dfrac{1}{5}\right)^2=\dfrac{43}{25}\\ x+\dfrac{1}{5}=\dfrac{\sqrt{45}}{5}\\ x=\dfrac{\sqrt{45}}{5}-\dfrac{1}{5}\\ x=\dfrac{-1+\sqrt{43}}{5}\)
x=-24
=>-x=24
=>-x+1=25
thay -x+1=25 vào E ta được:
E=x20+(-x+1)x19+(-x+1)x18+(-x+1)x17+...+(-x+1)x3+(-x+1)x2+(-x+1)x+(-x+1)
=x20-x20+x19-x19+x18-x18+x17-...-x4+x3-x3+x2-x2+x-x+1
=1
Vậy với x=-24 thì E=1
x = ‐24
=> ‐ X = 24
=> ‐ X + 1 = 25
thay ‐x+1=25 vào E ta được:
E = x 20 + ﴾‐ x + 1﴿ x 19 + ﴾‐ x + 1﴿ x 18 + ﴾‐ x + 1﴿ x 17 + ... + ﴾‐ x + 1﴿ x 3 + ﴾‐ x + 1 ﴿ x 2 + ﴾‐ x + 1﴿ x + ﴾‐ x + 1﴿
= x 20 ‐x 20 + x 19 ‐x 19 + x 1 8 ‐x 18 + x 17 ‐...‐ x 4 + x 3 ‐x 3 + x 2 ‐x 2 + x‐x + 1
= 1
Vậy với x=‐24 thì E=1
Học tốt nha Nguyễn Quang Linh
\(\left(x+\frac{1}{5}\right)^2+\frac{17}{25}=\frac{26}{25}\)
\(\Rightarrow\left(x+\frac{1}{5}\right)^2=\frac{26}{25}-\frac{17}{25}\)
\(\Rightarrow\left(x+\frac{1}{5}\right)^2=\frac{9}{25}=\frac{3}{5}^2\)
\(\Rightarrow x^2=\frac{3}{5}^2-\frac{1}{5}^2=\frac{2}{5}^2\)
\(\Rightarrow x=\frac{2}{5}\)
Mk nhanh nhất k mk nka!!!^_^^_^^_^
\(\left(x+\frac{1}{5}\right)^2+\frac{17}{25}=\frac{26}{25}\)
\(\left(x+\frac{1}{5}\right)^2=\frac{26}{25}-\frac{17}{25}\)
\(\left(x+\frac{1}{5}\right)^2=\frac{9}{25}=\left(\frac{3}{5}\right)^2=\left(-\frac{3}{5}\right)^2\)
\(\Rightarrow x+\frac{1}{5}=\frac{3}{5}\) \(\Rightarrow x+\frac{1}{5}=-\frac{3}{5}\)
\(x=\frac{3}{5}-\frac{1}{5}\) \(x=-\frac{3}{5}-\frac{1}{5}\)
\(x=\frac{2}{5}\) \(x=\frac{-4}{5}\)
\(vậy...\)
\(\left(x+\frac{1}{5}\right)^2+\frac{17}{25}=\frac{26}{25}\)
\(\left(x+\frac{1}{5}\right)^2=\frac{26}{25}-\frac{17}{25}\)
\(\left(x+\frac{1}{5}\right)^2=\frac{9}{25}\)
\(\Rightarrow\orbr{\begin{cases}x+\frac{1}{5}=\frac{3}{5}\\x+\frac{1}{5}=-\frac{3}{5}\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{2}{5}\\x=-\frac{4}{5}\end{cases}}}\)
\(\Rightarrow x\in\left\{-\frac{4}{5};\frac{2}{5}\right\}\)
(x+1/5)2 + 17/25= 26/25
(x+1/5)2 = 26/25- 17/25
(x+1/5)2 = 9/25
(x+1/5)2 = (3/5)2
=> x+1/5 = 3/5
x = 3/5-1/5
x = 2/5
Pls cho mk nha