Question

Solve 4√3 x

2 +5x -2√3 =0 using Formula​

Answer 1

Answer:

x=√3/4 OR  x= -2√3/3

Step-by-step explanation:

4√3 x²  +5x -2√3 =0

Here, a=4√3, b=5, c=-2√3

x= [-b ± √(b²-4ac)] ÷ 2a

= [-5 ± √(25 -4(4√3)(-2√3) ÷ 2(4√3)

= [-5  ± √(25 +96) ÷ 8√3

= [-5  ± √121] ÷ 8√3

= [-5  ± 11] ÷ 8√3

∴ x= (-5  + 11) ÷ 8√3 OR  x=(-5  - 11) ÷ 8√3

x= 6 ÷ 8√3 OR  x= -16 ÷ 8√3

x= 3/(4√3) OR  x= -2/√3

Rationalizing the denominator, we get

x= 3√3/12 OR  x= -2√3/3

x=√3/4 OR  x= -2√3/3