Question

if x=6-2√3 find the value of x- 1/x
50 points qn...

pls answer it fast​

Answer 1

follow me.............

Answer 2

hi mate,

solution : if x=6-2√3

1/a = 1/6+2√3

→ = 1/6-2√3 × 6+2√3/6+2√3

→ = (6+2√3)/(6-2√3)(6+2√3)

→ = (6+2√3)/(6²-(2√3)²)

→ = (6+2√3)/(36-4(3))

→ = (6+2√3)/(36-12)

→ = (6+2√3)/24

★a-1/a

→ 6-2√3 - (6+2√3)/24

→ {24(6-2√3) - 6 + 2√3}/24

→ {144-48√3-6+2√3}/24

→ {138 + 46√3}/24

→ 138/24 + 46√3/24

→ 23/4 + 23√3/12

→ {69+23√3}/12

i hope it helps you.