Class 10 Exam > Class 10 Questions > If x2+ 2 kx + 4 = 0 has a root x = 2, then th...
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If x2 + 2 kx + 4 = 0 has a root x = 2, then the value of k is?
- a)2
- b)-2
- c)-4
- d)-1
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If x2+ 2 kx + 4 = 0 has a root x = 2, then the value of k is?a)2b)-2c)...
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If x2+ 2 kx + 4 = 0 has a root x = 2, then the value of k is?a)2b)-2c)...
To find the value of k in the equation x^2 + 2kx + 4 = 0, given that x = 2 is a root, we can substitute x = 2 into the equation and solve for k.
**Substituting x = 2 into the equation:**
(2)^2 + 2k(2) + 4 = 0
4 + 4k + 4 = 0
8 + 4k = 0
4k = -8
k = -8/4
k = -2
Therefore, the value of k is -2.
**Explanation:**
The equation x^2 + 2kx + 4 = 0 is a quadratic equation. In a quadratic equation, the roots are the solutions for which the equation equals zero. If x = 2 is a root of the equation, it means that when we substitute x = 2 into the equation, the equation will be equal to zero.
By substituting x = 2 into the equation, we get 2^2 + 2k(2) + 4 = 0. Simplifying this equation, we have 4 + 4k + 4 = 0. Combining like terms, we get 8 + 4k = 0. To isolate the variable k, we subtract 8 from both sides of the equation, resulting in 4k = -8. Finally, dividing both sides of the equation by 4 gives us k = -2.
Therefore, the value of k in the equation x^2 + 2kx + 4 = 0, given that x = 2 is a root, is -2.
**Substituting x = 2 into the equation:**
(2)^2 + 2k(2) + 4 = 0
4 + 4k + 4 = 0
8 + 4k = 0
4k = -8
k = -8/4
k = -2
Therefore, the value of k is -2.
**Explanation:**
The equation x^2 + 2kx + 4 = 0 is a quadratic equation. In a quadratic equation, the roots are the solutions for which the equation equals zero. If x = 2 is a root of the equation, it means that when we substitute x = 2 into the equation, the equation will be equal to zero.
By substituting x = 2 into the equation, we get 2^2 + 2k(2) + 4 = 0. Simplifying this equation, we have 4 + 4k + 4 = 0. Combining like terms, we get 8 + 4k = 0. To isolate the variable k, we subtract 8 from both sides of the equation, resulting in 4k = -8. Finally, dividing both sides of the equation by 4 gives us k = -2.
Therefore, the value of k in the equation x^2 + 2kx + 4 = 0, given that x = 2 is a root, is -2.
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If x2+ 2 kx + 4 = 0 has a root x = 2, then the value of k is?a)2b)-2c)-4d)-1Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If x2+ 2 kx + 4 = 0 has a root x = 2, then the value of k is?a)2b)-2c)-4d)-1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x2+ 2 kx + 4 = 0 has a root x = 2, then the value of k is?a)2b)-2c)-4d)-1Correct answer is option 'B'. Can you explain this answer?.
If x2+ 2 kx + 4 = 0 has a root x = 2, then the value of k is?a)2b)-2c)-4d)-1Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If x2+ 2 kx + 4 = 0 has a root x = 2, then the value of k is?a)2b)-2c)-4d)-1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x2+ 2 kx + 4 = 0 has a root x = 2, then the value of k is?a)2b)-2c)-4d)-1Correct answer is option 'B'. Can you explain this answer?.
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