Question

If a-1/a=5,find the value of a²+1/a².​

Answer 1

Answer:

Given:

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

Identity:

${(a - \frac{1}{a} )}^{2}$

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

By applying this identity

Solution:

${(a - \frac{1}{a} )}^{2} = {5}^{2}$

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

${a}^{2} + \frac{1}{ {a}^{2} } = 25 + 2$

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

Answer 2

Answer:

27

Step-by-step explanation:

(a-1/a)^2=(5)^2

a^2+1/a^2-2*a*1/a=25

a^2+1/a^2-2=25

a^2+1/a^2=25+2

so

a^2+1/a^2=27

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