Question

x^2+5x+6=0 find the roots quadratic equation​

Answer 1

Answer:

x= -3 , x= -2

Step-by-step explanation:

x²+5x+6=0

(x+3)(x+2)=0

x+3=0. x+2=0

x= -3 , x= -2

Answer 2

$\begin{gathered}\bf{\underline{\underline{Given :-}}}\\\end{gathered}$

★ x² + 5x + 6 = 0

$\begin{gathered}\bf{\underline{\underline{To\:find : - }}}\\\end{gathered}$

★ Roots of the equation.

$\large{\boxed{\boxed{\sf{Solution : - }}}}$

x² + 5x + 6 = 0

↬ x² + 3x + 2x + 6

↬ x ( x + 3 ) + 2 ( x + 3 )

: ⟹ ★ ( x + 3 ) ( x +2 )

: ⟹ ★ x = - 3 or x = -2

$\large{\boxed{\boxed{\sf{Verification : - }}}}$

( x + 3 ) ( x + 2 )

⟹ x ( x + 2 ) + 3 ( x + 2 )

⟹ x² + 2x + 3x + 6

⟹ x² + 5x + 6

$\tt\red{Hence \ verified !!!}$