Question

x - 1/x = 3 . Solve this quadratic equation by shridhara Acharya's formula .​

Answer 1

Answer:

$\frac{3+-\sqrt{14} } {2}$

Step-by-step explanation:

from given:

(x² - 1) = 3x

x² - 3x -1

here,

a = 1,          b = -3       c =  -1

∴ x = [- b ± √(b² - 4ac)] / 2a

     ={ -(-3)  ± √[ (-3)² - 4(1)(-1) ] } / 2(1)

    = $\frac{3 +- \sqrt{9 + 4} }{2} = \frac{3+-\sqrt{14} } {2}$

Answer 2

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

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