Question

(x+1/5)² + 17/25 = 26/25

x = ????

 

Answer 1

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

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

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

\(\Rightarrow\orbr{\begin{cases}x+\frac{1}{5}=\frac{3}{5}\\x+\frac{1}{5}=-\frac{3}{5}\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{2}{5}\\x=-\frac{4}{5}\end{cases}}}\)

\(\Rightarrow x\in\left\{-\frac{4}{5};\frac{2}{5}\right\}\)

Answer 2

(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

Answer 3

(x+1/5)^2=26/25-17/25

(x+1/5)^2=9/25

x+1/5=3/25

x=3/25-1/5

x=-2/25