Math, asked by sohaather2017, 6 months ago

if a2+1/a2=23 find the values of a+1/a​

Answers

Answered by Jbk55
0

Step-by-step explanation:

a2+ 1/a2 =23

a2 + (1/a2)2 = 23

since, by using identity a2 + b2 = (a+b)2 - 2ab

now,

(a+1/a2)2 - 2× a× 1/a = 23

(a)2 + (1/a)2 + 2×a × 1/a -2×a×1/a = 23

(a)2 + (1/a)2 +2a/a -2a/a =23

since (+2a/a -2a/a) = 23

so, (a)2 + (1/a)2 =23

now,.....

(a+1/a)2 = 23

a+1/a =√23

hence, the value of a+1/a =√23

Answered by sandy1816
0

given

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

adding 2 both sides

 {a}^{2}  +  \frac{1}{ {a}^{2} }  + 2 = 25 \\  \\ ( {a +  \frac{1}{a} })^{2}  = 25 \\  \\ a +  \frac{1}{a}  = ±5

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