Question 30: How many values of x satisfy \( {\left| {\frac{3}{4} – 5\sqrt x } \right| + 0.6 = \frac{3}{{10} }}\)
\(\begin{array}{*{20}{l}} {\left| {\frac{3}{4} – 5\sqrt x } \right| + 0.6 = \frac{3}{{ 10}}}\\ {\left| {\frac{3}{4} – 5\sqrt x } \right| + \frac{6}{{10}} = \frac{3}{{10}} }\\ {\left| {\frac{3}{4} – 5\sqrt x } \right| = \frac{3}{{10}} – \frac{6}{{10}}}\\ {\left| {\frac{3}{4} – 5\sqrt x } \right| = \frac{{ – 3}}{{10}}} \end{array}\)
Because \( \left| {\frac{3}{4} – 5\sqrt x } \right| \ge 0\) for all x≥0, so there is no value of x that satisfies the problem requirement.
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