Question

X-1/X=3 find its roots x is not equal to 0
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Answer 1

Answer:

(x)-(1/x)=3

    $\frac{x^{2}-1 }{x} =3\\\\ x^{2} -1 = 3x\\\\x^{2} -3x -1 =0$

here a =1 ; b = -3 ; c = -1

discriminant D = $b^{2} -4ac$

                          $-3^{2} - 4(1)(-1)\\\\=9 + 4\\ \\=13$

x = ($-b$ ±$\sqrt{d}$)/2a

  = [-(-3)±$\sqrt{d}$]/2

  = [3±$\sqrt{13}$]/2

hence these are the required answers