[b-(b - x^2)^1/2] / [b (b - x^2)^1/2] = a
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let (b - x^2 )^1/2 = r
now,
(b - r)/(br) = a
b - r = abr
b = r (ab + 1)
r =b/(ab +1)
now put r =( b - x^2)^1/2
(b -x^2)^1/2 =b/(ab +1)
take square both side ,
( b - x^2 ) =b^2 /(ab + 1)^2
x^2 = b - b^2/(ab + 1)^2
={b (ab + 1)^2 -b^2}/(ab + 1)^2
take square root both side ,
x = +_root {b (ab +1)^2-b^2}/(ab +1)
now,
(b - r)/(br) = a
b - r = abr
b = r (ab + 1)
r =b/(ab +1)
now put r =( b - x^2)^1/2
(b -x^2)^1/2 =b/(ab +1)
take square both side ,
( b - x^2 ) =b^2 /(ab + 1)^2
x^2 = b - b^2/(ab + 1)^2
={b (ab + 1)^2 -b^2}/(ab + 1)^2
take square root both side ,
x = +_root {b (ab +1)^2-b^2}/(ab +1)
abhi178:
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hope it helps plzz mark it as brainliest
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