Question

Solve the following equation using the method of factorisation: x-1/x=45/14 (x≠0)​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

x - 1/x = 45/14

Multiply both sides by x

We get

x² - 1 = 45x/14

Transpose the terms to LHS. We get

${x}^{2} - \frac{45}{14}x - 1 = 0$

Multiplying both sides by 14 we get

$14 {x}^{2} - 45x - 14 = 0$

Factoring we get

(2x - 7)(7x + 2) = 0

=> x = 7/2, x = -2/7