My Learning Cart

If one root of the quadratic equation x^2 - 7x + k = 0 is 3, what is the value o

Practice Questions

Q1
If one root of the quadratic equation x^2 - 7x + k = 0 is 3, what is the value of k? (2023)
  1. 6
  2. 9
  3. 12
  4. 15

Questions & Step-by-Step Solutions

If one root of the quadratic equation x^2 - 7x + k = 0 is 3, what is the value of k? (2023)
  • Step 1: Start with the quadratic equation: x^2 - 7x + k = 0.
  • Step 2: We know that one root of the equation is 3.
  • Step 3: Substitute 3 for x in the equation: 3^2 - 7*3 + k = 0.
  • Step 4: Calculate 3^2, which is 9.
  • Step 5: Calculate 7*3, which is 21.
  • Step 6: Now the equation looks like: 9 - 21 + k = 0.
  • Step 7: Simplify the left side: 9 - 21 equals -12, so we have -12 + k = 0.
  • Step 8: To find k, add 12 to both sides: k = 12.
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