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The number of zeros of x2 + 4x + 2
- a)1
- b)2
- c)3
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The number of zeros of x2+ 4x + 2a)1b)2c)3d)none of theseCorrect answe...
Solution:
Finding the Zeros of a Quadratic Equation:
The zeros of a quadratic equation are the values of x for which the value of the quadratic equation equals zero. A quadratic equation in the standard form is ax2 + bx + c = 0, where a, b, and c are constants.
Given Quadratic Equation:
x2 + 4x + 2a = 0
To find the zeros of the given quadratic equation, we need to solve the equation for x by using the quadratic formula. The quadratic formula is given as:
x = (-b ± √(b2 - 4ac)) / 2a
Where a = 1, b = 4, and c = 2a
Substituting the values of a, b, and c in the quadratic formula, we get:
x = (-4 ± √(42 - 4(1)(2a))) / 2(1)
x = (-4 ± √(16 - 8a)) / 2
x = -2 ± √(4 - 2a)
Therefore, the quadratic equation has two zeros, given by:
x1 = -2 + √(4 - 2a)
x2 = -2 - √(4 - 2a)
Hence, the correct answer is option 'B', which states that the given quadratic equation has two zeros.
Finding the Zeros of a Quadratic Equation:
The zeros of a quadratic equation are the values of x for which the value of the quadratic equation equals zero. A quadratic equation in the standard form is ax2 + bx + c = 0, where a, b, and c are constants.
Given Quadratic Equation:
x2 + 4x + 2a = 0
To find the zeros of the given quadratic equation, we need to solve the equation for x by using the quadratic formula. The quadratic formula is given as:
x = (-b ± √(b2 - 4ac)) / 2a
Where a = 1, b = 4, and c = 2a
Substituting the values of a, b, and c in the quadratic formula, we get:
x = (-4 ± √(42 - 4(1)(2a))) / 2(1)
x = (-4 ± √(16 - 8a)) / 2
x = -2 ± √(4 - 2a)
Therefore, the quadratic equation has two zeros, given by:
x1 = -2 + √(4 - 2a)
x2 = -2 - √(4 - 2a)
Hence, the correct answer is option 'B', which states that the given quadratic equation has two zeros.
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Community Answer
The number of zeros of x2+ 4x + 2a)1b)2c)3d)none of theseCorrect answe...
Because it is a quadratic polynomial and quadratic polynomial have only 2 zeroes while linear polynomial only have 1 zero.
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The number of zeros of x2+ 4x + 2a)1b)2c)3d)none of theseCorrect answer is option 'B'. Can you explain this answer? for Class 9 2026 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The number of zeros of x2+ 4x + 2a)1b)2c)3d)none of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of zeros of x2+ 4x + 2a)1b)2c)3d)none of theseCorrect answer is option 'B'. Can you explain this answer?.
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