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

Question

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

KnowledgeBoat · Accepted Answer

Given, Applying componendo and dividendo, Squaring both sides: Hence, proved that 3ax2 - 2bx + 3a = 0.

Mathematics