If 15a²+4b²/15a²-4b²=47/7 then find the values of a/b
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➡ Firstly, we have done cross multiplication,
➡ Then we arranged "a²" variable coefficients in Left Hand Side and similarly "b²" variable coefficients in Right Hand Side.
➡ Negative sign is getting removed from both sides.
➡ We got value of a²/b² = 9/25.
➡ So, if a²/b² = 9/25, then without any doubt, a/b will be 3/5.
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➡ Then we arranged "a²" variable coefficients in Left Hand Side and similarly "b²" variable coefficients in Right Hand Side.
➡ Negative sign is getting removed from both sides.
➡ We got value of a²/b² = 9/25.
➡ So, if a²/b² = 9/25, then without any doubt, a/b will be 3/5.
==================================
⭐ THE SOLUTION TO YOUR ABOVE QUESTION IS MENTIONED IN THE ABOVE PICTURE.
⭐ I HOPE THE ABOVE SOLUTION IS CLEAR TO YOU.
⭐ FEEL FREE TO ASK ME MORE DOUBTS WHICH STILL EXISTS IN YOU.
==================================
✨✨✨ ALWAYS BE BRAINLY ✨✨✨
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(15a²+4b²) / (15a²-4b²) = 47/7
(15a²+4b²)+(15a²-4b²)/(15a²+4b²)-(15-4b²)= (47+7)/(47-7)
(15a²+4b²+15a²-4b²)/(15a²+4b²-15a²-4b²)=54/40
30a²/ 8b²= 54/40
a²/b² = 54×8/40×30
a²/b² = 9/25 ( taking square root)
a/b = 3/5 .
(15a²+4b²)+(15a²-4b²)/(15a²+4b²)-(15-4b²)= (47+7)/(47-7)
(15a²+4b²+15a²-4b²)/(15a²+4b²-15a²-4b²)=54/40
30a²/ 8b²= 54/40
a²/b² = 54×8/40×30
a²/b² = 9/25 ( taking square root)
a/b = 3/5 .
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