Practicing Success
If $ x + \frac{1}{15x} = 3, $ then the value of $9x^3 +\frac{1}{375x^3}$ will be : |
237.6 376.2 273.6 367.2 |
237.6 |
If $ x + \frac{1}{15x} = 3, $ then the value of $9x^3 +\frac{1}{375x^3}$ = ? We know that, If x + y = n then, $x^3 + y^3$ = n3 - 3 × n × xy = then, $ x^3+\frac{1}{3375x}$ =33 - 3 × 3 ÷ 15 = \(\frac{132}{5}\) Multiply the above equation by 9 to get the desired equation, $9x^3 +\frac{1}{375x^3}$ = \(\frac{132}{5}\) × 9 = \(\frac{1188}{5}\) = 237.6 |