Alerts Wishlist Cart

If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

Practice Questions

Q1
If a + b = 10 and ab = 21, what is the value of a^2 + b^2?
  1. 49
  2. 59
  3. 61
  4. 41

Questions & Step-by-Step Solutions

If a + b = 10 and ab = 21, what is the value of a^2 + b^2?
  • Step 1: Identify the given equations: a + b = 10 and ab = 21.
  • Step 2: Recall the identity for a^2 + b^2: a^2 + b^2 = (a + b)^2 - 2ab.
  • Step 3: Substitute the value of a + b into the identity: (a + b)^2 = 10^2.
  • Step 4: Calculate 10^2: 10^2 = 100.
  • Step 5: Substitute the value of ab into the identity: 2ab = 2 * 21.
  • Step 6: Calculate 2 * 21: 2 * 21 = 42.
  • Step 7: Now substitute these values into the identity: a^2 + b^2 = 100 - 42.
  • Step 8: Calculate 100 - 42: 100 - 42 = 58.
  • Step 9: Therefore, the value of a^2 + b^2 is 58.
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