Question

Determine the nature of the roots of the
quadrentic equation : √3 x2 + 2√3 x + √3=0.​

Answer 1

Answer:

= 0

Step-by-step explanation:

Compare √3 x² + 2 √3 x + √3 = 0 with ax²+ bx + c = 0

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

we get a = √3 , b = 2 √3 , c = √3 ,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

 ⇒b² - 4 ac = (2 √3 )² - 4 x √3 x √3

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

 ⇒4 x 3 - 4 x 3

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⇒ 12 - 12

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⇒ 0

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⇒ b² - 4 ac = 0

∴ Root of the equation are real and equal.⠀⠀⠀⠀⠀⠀⠀⠀⠀