Question

if : a is not equal to 0 and a-1/a=4; find: a²+1/a²​

Answer 1

Answer:

${a}^{2} + \frac{1}{ {a}^{2} } = 18$

Step-by-step explanation:

$a - \frac{1}{a} = 4 \\ \\ \\ \\ {( {a - \frac{1}{a}) }^{2} }^{} = {4}^{2} \\ \\ \\ \\ {a}^{2} + \frac{1}{ {a}^{2} } - 2 = 16 \\ \\ {a}^{2} + \frac{1}{ {a}^{2} } = 18$