What is the discriminant of $x^{2} + 2 x + 3 = 0$ $x^2+2x+3=0$ ?

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Answer 1 · 2014-09-30T03:13:33

Discriminant $\to b^{2} - 4 a c$ $->b^2-4ac$

$= 0$ $=0$ , 1 real root
$> 0$ $>0$ , 2 real roots
$< 0$ $<0$ , 2 complex roots

$a x^{2} + b x + c = 0$ $ax^2+bx+c=0$

$x^{2} + 2 x + 3 = 0$ $x^2+2x+3=0$

$a = 1, b = 2, c = 3$ $a=1, b=2, c=3$

${(2)}^{2} - 4 (1) (3)$ $(2)^2-4(1)(3)$

$4 - 12$ $4-12$

$- 8 < 0 \to$ $-8<0 ->$ 2 complex roots

What is the discriminant of x^2+2x+3=0x2+2x+3=0x^2+2x+3=0?