If x = ( √(2a + 3b) + √(2a − 3b) ) / ( √(2a + 3b) − √(2a − 3b) ), prove that : 3bx^2 − 4ax + 3b = 0

Question

If  x = ( √(2a + 3b) + √(2a − 3b) ) / ( √(2a + 3b) − √(2a − 3b) ), prove that :  3bx^2 − 4ax + 3b = 0

KnowledgeBoat · Accepted Answer

Given, Applying componendo and dividendo, we get : Squaring both sides, we get : Hence, proved that 3bx2 - 4ax + 3b = 0.

Mathematics