Question

If a/b =2/3 then find the value of the following exepression 5a2+2b2/5a2-2b2​

Answer 1

Hey mate here is your answer:

Given:

$\frac{a}{b} = \frac{2}{3}$

Let a=2x & b=3x,

Now let put values into the given expression:

$\frac{5(2x) {}^{2} + 2(3x) {}^{2} }{5(2x) {}^{2} - 2(3x) {}^{2} }$

$= > \frac{5 \times 4x {}^{2} + 2 \times 9x {}^{2} }{5 \times 4x {}^{2} - 2 \times 9x {}^{2} }$

$= > \frac{20x {}^{2} + 18x {}^{2} }{20x {}^{2} - 18x {}^{2} }$

$= > \frac{38x {}^{2} }{2x {}^{2} }$

$= 19 \div 1$

Ratio is 19:1 & answer is 19