(a) If \( \frac{a}{4}=\frac{b}{3} \), find the value of: \( \frac{a b+a^{2}}{a b-b^{2}} \) (b) If \( b \) is the middle proportion between a and \( c \), prove that : \( \sqrt{\frac{a^{2}+b^{2}}{b^{2}+c^{2}}}=\frac{a}{b} \) where \( a, b, c \) are positive proportion

Usa logaritmos para encontrar el valor de x en la ecuación: \( 3^{x} = 1/9 \).

\( P(x)=x^{2}-x-3 \) olduğuna göre, \( P(x+1)+P(x-1) \) ișleminin sonucu nedir?

e values of ' \( a \) ' and ' \( b \) ', for which the equations \( 3 x-(a-1) y=b+7,6 x-(a+4) y=5 b \) - y have infinite solutions, are

Write a simplified algebraic expressions for the phrase "two thirds of the difference of \( x \) from \( y \) adided to twice \( x \).

If \( \frac{1}{\log _{3} \pi}+\frac{1}{\log _{4} \pi}>x \), then \( x \) can be