If \(\frac{a}{b} = \frac{7}{6}\), the find the value of the expression \(\frac{6a+13b}{6a-13b}\).
\(-\frac{10}{3}\)
\(a=7k,\ b=6k\Rightarrow\frac{6a+13b}{6a-13b}=\frac{42+78}{42-78}=-\frac{10}{3}.\)
If \(\frac b a = 0.7,\) find the value of \(\frac {a-b}{a+b} + \frac {11}{34}.\)
If \(\frac{x}{y} = \frac{5}{3}\), then \(\frac{x + y}{x - y}\) is equal to
If \(\frac b a = 0.7,\) find the value of \(\frac {a-b}{a+b} + \frac {11}{34}.\)
If \({\rm{x}} = \frac{{\sqrt {{\rm{a}} + {\rm{b\;}}} -{\rm{\;}}\sqrt {{\rm{a}} - {\rm{b}}} }}{{\sqrt {{\rm{a}} + {\rm{b}}} {\rm{\;}} + {\rm{\;}}\sqrt {{\rm{a}} - {\rm{b\;}}} }}\) , then what is bx 2– 2ax + b equal to (b ≠ 0)?
For \(x = \frac{{4\sqrt 6 }}{{\sqrt 2 + \sqrt 3 }},\)what is the value of \(\frac{{x + 2\sqrt 2 }}{{x - 2\sqrt 2 }} + \frac{{x\; + \;2\sqrt 3 }}{{x - 2\sqrt 3 }}?\)