Ta có: \(\left| {x + 0,5} \right| - \frac{3}{4} = \frac{5}{2}\)

\(\left| {x + 0,5} \right| = \frac{5}{2} + \frac{3}{4}\)

\(\left| {x + 0,5} \right| = \frac{{13}}{4}\)

TH1: \(x + 0,5 = \frac{{13}}{4}\)

\(x = \frac{{13}}{4} - 0,5\)

\(x = \frac{{13}}{4} - \frac{1}{2}\)

\(x = \frac{{11}}{4}\)

\(x = 2,75\).

TH2: \(x + 0,5 = - \frac{{13}}{4}\)

\(x = - \frac{{13}}{4} - 0,5\)

\(x = - \frac{{13}}{4} - \frac{1}{2}\)

\(x = - \frac{{13}}{4} - \frac{1}{2}\)

\(x = - \frac{{15}}{4}\)

\(x = - 3,75\)

Vì \(x > 0\) nên \(x = 2,75\) (thỏa mãn)

Vậy \(x = 2,75\).

Đáp án: 2,75.

Nếu √ x = 9 thì x bằng