Question

a4+a2b2+b4/b4+b2c2+c4=a2/c2​

Answer 1

Answer:

what is this ??? I can't understand this question

Answer 2

If b is the mean proportion between a and c, we have to prove LHS=RHS -

• If b is the mean proportion between a and c as given, it would imply - a/b = b/c = b²=ac        (1)
• Left Hand Side = (a²)² +a²b²+(b²)² / (b²)²+b²c²+(c²)²
• Right Hand Side = a²/c²
• Therefore, (a²)² + a³c + a²c² / a²c² + ac³ + (c²)²   (substituting value of b² from 1)
• a² (a²+ac+c²)  /  c² (a²+ac+c²) = a²/c² = Right Hand Side
• Hence, proved.