This math topic revolves around understanding quadratic discriminants and determining the nature of quadratic equation roots. The problems require students to differentiate between examples of quadratic equations that yield real roots and those that do not, by analyzing given roots. Some roots include complex numbers indicated by the imaginary unit 'i', signifying non-real roots. The worksheet aims to reinforce concepts related to the quadratic formula and the discriminant, part of a broader introduction to quadratic equations and discriminants. Students can assess their ability to identify real and non-real roots from graphical representations and equations.

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Quadratic Discriminants - Has Real Roots to Root Example Worksheet

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Quadratic Discriminants - Has Real Roots to Root Example
1
Which roots would be examples of having real roots?
a A LaTex expression showing x=5.46 \\x=-1.46 \\
b A LaTex expression showing x=\frac{3.7 \pm isquare root of 7.2}{5.9} \\
2
Which roots would be examples of NOT having real roots?
a A LaTex expression showing x=9.6 \\
b A LaTex expression showing x=\frac{2 \pm isquare root of 6}{-1} \\
3
Which roots would be examples of NOT having real roots?
a A LaTex expression showing x=8.8 \\
b A LaTex expression showing x=\frac{-0 \pm isquare root of 30}{-3} \\
4
Which roots would be examples of having real roots?
a A LaTex expression showing x=2.19 \\x=-1.52 \\
b A LaTex expression showing x=\frac{2.4 \pm isquare root of 6.6}{4.4} \\
5
Which roots would be examples of having real roots?
a A LaTex expression showing x=-2.41 \\x=0.41 \\
b A LaTex expression showing x=\frac{8.7 \pm isquare root of 7.4}{8.6} \\
6
Which roots would be examples of having real roots?
a A LaTex expression showing x=0.73 \\x=-2.73 \\
b A LaTex expression showing x=\frac{3.4 \pm isquare root of 4.5}{5.5} \\
7
Which roots would be examples of NOT having real roots?
a A LaTex expression showing x=6.6 \\
b A LaTex expression showing x=\frac{-1 \pm isquare root of 7}{-2} \\
8
Which roots would be examples of having real roots?
a A LaTex expression showing x=-6.83 \\x=-1.17 \\
b A LaTex expression showing x=\frac{5.8 \pm isquare root of 8.2}{2.1} \\