Question

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

Answer 1

3a=2b=k so a=k/3 b=k/2

then substitute the value of a and b in the equation
answer is 19

Answer 2

Answer:

5a²+2b²/5a²-2b². = 19

Step-by-step explanation:

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

let say a = 2k  then  b = 3k   as a/b = 2/3

Numerator = 5a²+2b² = 5(2k)² + 2(3k)² = 20k² + 18k² = 38k²

Denominator = 5a²-2b² = 5(2k)² - 2(3k)² = 20k² - 18k² = 2k²

Numerator/Denominator  = 38k²/2k² = 19

5a²+2b²/5a²-2b². = 19