Project ID:
7500000131
Question:
Consider the quadratic equation
$$ax^2+bx+c=0.$$
Match each triple of coefficients $(a, b, c)$ with the corresponding discriminant $D$ and the complex roots of the equation.
Header 1:
Coefficients $(a,b,c)$
Header 2:
Diskriminant $D$
Header 3:
Roots of the Equation
Text 11:
$a=1,\ b=-2,\ c=5 $
Text 21:
$D=-16$
Text 31:
$1\pm 2\mathrm{i}$
Text 12:
$a=1,\ b=-4,\ c=7$
Text 22:
$D=-12$
Text 32:
$2\pm \mathrm{i}\sqrt3$
Text 13:
$a=1,\ b=-4,\ c=5$
Text 23:
$D=-4$
Text 33:
$2\pm \mathrm{i}$
Text 14:
$a=1,\ b=-4,\ c=6$
Text 24:
$D=-8$
Text 34:
$2\pm \mathrm{i}\sqrt2$
Text 15:
$a=1,\ b=2,\ c=2{,}5 $
Text 25:
$D=-6$
Text 35:
$-1\pm \mathrm{i}\frac{\sqrt6}{2}$
Text 16:
$a=2,\ b=2,\ c=3 $
Text 26:
$D=-20$
Text 36:
$-\frac12\pm \mathrm{i}\frac{\sqrt5}{2}$
Workflow:
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