Can a quadratic equation have three roots?

No. According to the Fundamental Theorem of Algebra, a polynomial equation of degree n has exactly n complex roots. A quadratic equation is a second-degree polynomial (n = 2) and thus can have at most two roots.

What are imaginary roots?

When the discriminant D = b² - 4ac is negative, the square root term contains a negative value, yielding roots with the imaginary unit i (where i = √-1). These are complex numbers representing points where the parabola does not cross the x-axis.

Back to Class VIII Mathematics

Class VIII Mathematics

Chapter 2: Linear Equations in One Variable

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

Select Syllabus Tab:

Syllabus Sections

Print-Ready Math Worksheet

Generate and print a beautiful chapter worksheet complete with key equations, problems, and dedicated writing spaces.

Worksheet Details:

• Title: Class VIII Math: Linear Equations in One Variable Printable Sheet
• Format: Print Optimized CSS stylesheet
• Sections: Formulas checklist, 5 assessment questions, worked keys

NexPro Education Worksheet

Class VIII Mathematics: Linear Equations in One Variable

Name: ______________________Date: __________________Score: ______ / 5

Section I: Key Formulas

Standard Linear solution

ax + b = 0 \Rightarrow x = -\frac{b}{a}

Section II: Answer the Questions

1. [Worksheet Question 1] Apply the formula Standard Linear solution to solve for coefficient constants. What is the value?