Question

By using a suitable identity, evaluate x² + 1/x²2 if x-1/x=5 (Algebraic Expressions Gr 8)

Answer 1

Answer:

27

Step-by-step explanation:

Formula

${(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab$

$x - \frac{1}{x} = 5$

sobs

${(x - \frac{1}{x} )}^{2} = 25$

${x}^{2} + \frac{1}{ {x}^{2} } - 2 = 25$

${x}^{2} + \frac{1}{ {x}^{2} } = 27$

Hope it helps