X - 1/x=3 find the roots by formula method
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1. x = ( 3 + )/ 2
2. x = ( 3 - )/ 2
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x = - b + ( )/ 2a
x = - b - ( ) / 2a
ax² + bx + c = 0 ,
where, a not equal to 0 , & a,b, c are real coefficients of the equation.
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x - 1/x = 3
==> (x² - 1) / x = 3
==> x² - 1 = 3x
==> x² -3x -1 = 0
Now, Apply Shridharacharya formula;-
x = - (-3) + ( ) / 2(1)
x = 3 + ( ) / 2
x = ( 3 + )/ 2 (Ans)
Similarly,
x = ( 3 - )/ 2 (Ans)
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