Question

if a/b = 2/3 then find the value of 5a²+2b²
__________
5a²-2b²​

Answer 1

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

Answer 2

Answer:

5a² + 2b²/5a² - 2b² = 19

Step-by-step explanation:

given that

a/b = 2/3

so, a = 2b/3

now put value of a

5(2b/3)² + 2b² / 5(2b/3)² - 2b²

5(4b²/9) + 2b² / 5(4b²/9) - 2b²

20b²/9 + 2b² / 20b²/9 - 2b²

20b²+18b²/9 / 20b² - 18b²/9

38b²/2b²

19

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