\(\left(x+\frac{1}{5}\right)^2+\frac{17}{25}=\frac{26}{25}\)

\(\left(x+\frac{1}{5}\right)^2=\frac{26}{25}-\frac{17}{25}\)

\(\left(x+\frac{1}{5}\right)^2=\frac{9}{25}\)

\(\left(x+\frac{1}{5}\right)^2=\frac{3}{5}^2\)

\(\left(x+\frac{1}{5}\right)=\frac{3}{5}\)

\(x=\frac{3}{5}-\frac{1}{5}\)

\(x=\frac{2}{5}\)

(x+1/5) . (x+1/5)=26/25-17/25

x+1/5 .x+1/5=9/25

x+1/5.x=9/25-5/25

x+1/5 . x=4/25

x.(1/5+1)=4/25

x. 6/5=4/25

x=4/25:6/5

x=2/15

\(\left(x+\frac{1}{5}\right)^2+\frac{17}{25}=\frac{26}{25}\)

\(\left(x+\frac{1}{5}\right)^2=\frac{26}{25}-\frac{17}{25}\)

\(\left(x+\frac{1}{5}\right)^2=\frac{9}{25}=\left(\frac{3}{5}\right)^2=\left(-\frac{3}{5}\right)^2\)

\(\Rightarrow x+\frac{1}{5}=\frac{3}{5}\)                                             \(\Rightarrow x+\frac{1}{5}=-\frac{3}{5}\)

\(x=\frac{3}{5}-\frac{1}{5}\)                                                      \(x=-\frac{3}{5}-\frac{1}{5}\)

\(x=\frac{2}{5}\)                                                                   \(x=\frac{-4}{5}\)

                                       \(vậy...\)

a) (x - 1/2)² = 4

<=> (x - 1/2)² = 2²

<=> x - 1/2 = -2; 2

<=> x - 1/2 = 2 hoặc x - 1/2 = -2

       x = 2 + 1/2         x = -2 + 1/2

       x = 5/2               x = -3/2

=> x = 5/2 hoặc x = -3/2

b) 10/1/2 - (x + 1/3)² = 1/1/2

<=> -(x + 1/3)² = 1/1/2 - 10/1/2

<=> -(x + 1/3)² = 1/2 - 5

<=> -(x + 1/3)² = -5.2 + 1/2

<=> -(x + 1/3)² = -9/2

<=> (x + 1/3)² = 9/2

<=> x + 1/3 = \(\sqrt{\frac{9}{2}}\)  hoặc x + 1/3 = \(-\sqrt{\frac{9}{2}}\)

       x = \(\frac{3\sqrt{2}}{2}\) - 1/3         x = \(-\frac{3\sqrt{2}}{2}\) -1/3

=> x = \(\frac{3\sqrt{2}}{2}\) - 1/3 hoặc x = \(-\frac{3\sqrt{2}}{2}\) -1/3

c) (x - 1/5)² + 17/25 = 26/25

<=> (x - 1/5)² = 26/25 - 17/25

<=> (x - 1/5)² = (3/5)²

<=> x - 1/5 = -3/5; 3/5

<=> x - 1/5 = 3/5 hoặc x - 1/5 = -3/5

       x = 3/5 + 1/5         x = -3/5 + 1/5

       x = 4/5                  x = -2/5

=> x = 4/5 hoặc x = -2/5

\(a,2-x=17-\left(-5\right)\)

\(\Rightarrow2-x=17+5\)

\(\Rightarrow2-x=22\)

\(\Rightarrow x=2-22\)

\(\Rightarrow x=-20\)

Vay...

\(b,11-\left(15+11\right)=x-\left(25-9\right)\)

\(\Rightarrow11-26=x-16\)

\(\Rightarrow-15=x-16\)

\(\Rightarrow-15+16=x\)

\(\Rightarrow x=1\)

\(c,9-25=\left(7-x\right)-\left(25+7\right)\)

\(\Rightarrow-16=7-x-32\)

\(\Rightarrow-16=-x-25\)

\(\Rightarrow x=-25+16\)

\(\Rightarrow x=-9\)

Vay \(x=-9\)

(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