Question

find the root of quartic equation 3x square- 2x√6-2 =O.. ans fast.pls do step by step​

Answer 1

3x² – 2√6 x – 2 = 0

a = 3, b = – 2√6, c = – 2

D = √b² – 4ac

D = √ ( – 2√6 )² – 4 ( 3 ) ( – 2 )

D = √ 24 + 24

D = √48

D = 4√3

x = ( – b ± D ) / 2a

x = ( 2√6 ± 4√3 ) / 2×3

x = (√6 ± 2√3 ) / 3

x = (√6 + 2√3 ) / 3

or

x = (√6 – 2√3 ) / 3