Question

Prove that x^2+2x+3 has no zero

Answer 1

Discriminant is negative,

Hence, it has no zeroes.

Thanks Ω

Answer 2

$\huge{Solution}$

${x}^{2} + 2x + 3$

$\huge\boxed{D=b^2-4ac}$

Here,

a=1,b=2,c=3

D=4-4(1)(3)

D=4-12

D=-8

Since D > 0

Therefore given equation has no zero.

$\large{\rm{\underline{Hence\:Proved}}}$