Question

plz tell me the answer
a; 5
b; 2
c; 3
d; -4​

Answer 1

$\huge\mathfrak\blue{Answer:}$

Identity Used:

• ( a + b )² = a² + b² + 2ab

Given:

• We have been given that
• ${a}^{2} + \dfrac{1}{ {a}^{2} } = 23$

To Find:

• We have to determine the value of given expression : ( a + 1/a )

Solution:

We have been given that

$= > {a}^{2} + \dfrac{ 1}{ {a}^{2} } = 23$

Adding 2 on both sides of equation

$= > {a}^{2} + \dfrac{1}{ {a}^{2} } + 2 = 23 + 2$

$= > {a}^{2} + \dfrac{1}{ {a}^{2} } + 2a \times \dfrac{1}{a} = 25$

Using Identity of ( a + b )² :

$= > ({a + \dfrac{1}{a} }) ^{2} = 25$

Taking root on both sides of equation

$= > a + \dfrac{1}{a} = \sqrt{25}$

$= > a + \dfrac{1}{a} = 5$

Hence option A is correct

Answer 2

Answer:

a. 5

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