Alerts Wishlist Cart

What is the nature of the roots of the equation x² + 2x + 5 = 0? (2023)

Practice Questions

Q1
What is the nature of the roots of the equation x² + 2x + 5 = 0? (2023)
  1. Real and distinct
  2. Real and equal
  3. Complex
  4. None of the above

Questions & Step-by-Step Solutions

What is the nature of the roots of the equation x² + 2x + 5 = 0? (2023)
  • Step 1: Identify the coefficients of the quadratic equation x² + 2x + 5 = 0. Here, a = 1, b = 2, and c = 5.
  • Step 2: Use the formula for the discriminant, D = b² - 4ac.
  • Step 3: Substitute the values of a, b, and c into the formula: D = 2² - 4*1*5.
  • Step 4: Calculate 2², which is 4.
  • Step 5: Calculate 4*1*5, which is 20.
  • Step 6: Subtract the two results: D = 4 - 20.
  • Step 7: Calculate the result: D = -16.
  • Step 8: Interpret the value of the discriminant. Since D is negative (-16), this means the equation has complex roots.
No concepts available.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely