√a+x-√a-x÷√a+x+√a-x please give the answer
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If x=(√(a+2b)+√(a-2b))/(√(a+2b)-√(a-2b)) … then prove that bx2-ax+b=0
x =(√(a+2b)+√(a-2b))/(√(a+2b)-√(a-2b))
use Component and dividend
(x+1)/(x-1) = √(a+2b)/√(a-2b)
square both sides
(x² + 2 x + 1)/(x^2-2x + 1) = (a+2b)/(a-2b)
again use component and dividend
(x² + 1)/(2x) = (a)/(2b)
or bx^2 +b = ax
or bx^2 - ax + b = 0
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