This math topic focuses on determining whether quadratic equations have one or more real roots. Students practice using the discriminant, \( b^2 - 4ac \), from the standard quadratic equation \( ax^2 + bx + c = 0 \), to ascertain the nature of the roots (real or imaginary). Each question presents a different quadratic equation, such as \( y=1.5x^2+2x+0.67 \), and asks whether the equation has real roots, with answers provided in a simple 'Yes' or 'No' format. This skill is vital for understanding the properties and solutions of quadratic functions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Quadratic Discriminants - Equation to Has Real Roots Worksheet

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Quadratic Discriminants - Equation to Has Real Roots
1
Does this quadratic equation have one or more real roots?
A LaTex expression showing y=1.5x to the power of 2 +2x+0.67
a
Yes
b
No
2
Does this quadratic equation have one or more real roots?
A LaTex expression showing y=1.5x to the power of 2 +x-1
a
Yes
b
No
3
Does this quadratic equation have one or more real roots?
A LaTex expression showing y=-0.5x to the power of 2 -3x-1
a
Yes
b
No
4
A LaTex expression showing y=x to the power of 2 +x+4
Does this quadratic equation have one or more real roots?
a
Yes
b
No
5
Does this quadratic equation have one or more real roots?
A LaTex expression showing y=0.5x to the power of 2 -x+0.5
a
Yes
b
No
6
Does this quadratic equation have one or more real roots?
A LaTex expression showing y=-0.5x to the power of 2 +2x+3
a
Yes
b
No
7
A LaTex expression showing y=x to the power of 2 -4x+4
Does this quadratic equation have one or more real roots?
a
Yes
b
No
8
Does this quadratic equation have one or more real roots?
A LaTex expression showing y=1.5x to the power of 2 +3x-4
a
Yes
b
No