Question

X+ 1/x = 3 find x square + 1/x square

Please

Answer 1

Answer:

7

Step-by-step explanation:

$x + \frac{1}{x} = 3$

squaring both sides

${(x + \frac{1}{x} )}^{2} = {3}^{2}$

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

${x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} = 9 \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 9 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 9 - 2 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 7$