Question

2x^2+5√3x+6 solve using quadratic equation​

Answer 1

$\huge\boxed{\fcolorbox{black}{pink}{★ Answer★ }}$

We know that,

D = b² - 4ac

→ D = (5√3)² - 4(2)(6)

→ D = 25 * 3 - 8(6)

→ D = 75 - 48

→ D = 27

\rule{100}{2}

Now,

x = -b ± √D/2a

→ x = -5√3 ± √27/2(2)

→ x = -5√3 ± 3√3/4

→ x = √3(-5 ± 3)/4

Putting positive:-

→ x = √3(-5 + 3)/4

→ x = √3(-2)/4

→ x = -√3/2

( Or )

Putting negative:-

→ x = √3(-5 - 3)/4

→ x = √3(-8)/4

→ x = -2√3