Question

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

Answer 1

a - 1/a =5

take squaring both side

(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 =27 (answer)

Answer 2

Answer:

$a^2+\frac{1}{a^2}=23$

Step-by-step explanation:

$a+\frac{1}{a}=5\\squaring\\a^2+(\frac{1}{a})^2+2\times a \times \frac{1}{a}=5^2\\a^2+\frac{1}{a^2} +2=25\\a^2+\frac{1}{a^2}=25-2=23$