Question

Find
the
zero of the
polynomial x²+x+6​

Answer 1

Answer:-3,-2

pls refer my attachment:

hope it helps✌✌

Answer 2

$\Large{\underline{\underline{\bf{Solution :}}}}$

We know that,

$\large{\implies{\boxed{\boxed{\sf{x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} }}}}}$

Where,

a = 1

b = 1

c = -6

_______________[Put Values]

$\sf{→x = \frac{-1 \pm \sqrt{1^2 - 4(1)(-6)}}{2(1)}} \\ \\ \sf{→x = \frac{1 \pm \sqrt{1 + 25}}{2}} \\ \\ \sf{→x = \frac{1 \pm \sqrt{1 + 24}}{2}} \\ \\ \sf{x = \frac{1\pm 5}{2}}$

$\rule{150}{2}$

When +

$\sf{→x = \frac{1 + 5}{2}} \\ \\ \sf{→x = \frac{\cancel{6}}{\cancel{2}}} \\ \\ \sf{→x = 3}$

$\rule{150}{2}$

When -

$\sf{→x = \frac{1 - 5}{2}} \\ \\ \sf{→ x = \frac{\cancel{-4}}{\cancel{2}}} \\ \\ \sf{→x = -2}$