Math, asked by haquil, 2 months ago

If a=2+√5 and b= 1/a
then find a² + b²
Please ans correctly and properly
Please reply only if you know the ans

Answers

Answered by helloraog
1

Answer:

Step-by-step explanation:

Attachments:
Answered by quratulainhussain28
2

Answer:

a= 2+√5

squaring on both sides

(a)^2 = (2+√5)^2

a^2= (2)^2 +2(2)(√5) + (√5)^2

a^2 = 4 + 4√5 + 25

a^2 = 29 + 4√5. ------------(i)

b = 1/a

squaring on both sides

b^2 = 1/ a^2

put the value of a^2

b^2 = 1/ (29+ 4√5) -----------(ii)

adding eqn (i) and eqn (ii)

a^2 + b^2 = 29+4√5 + 1/(29+4√5)

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