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How many points will the graph of x2 + 2x + 1 will cut the x-axis?
- a)3
- b)1
- c)2
- d)0
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
How many points will the graph of x2+ 2x + 1 will cut the x-axis?a)3b)...
The graph of x2 + 2x + 1 does not cut the x-axis, because it has imaginary roots.
x2 + 2x + 1 = 0
x2 + x + x + 1 = 0
x(x + 1) + (x + 1) = 0
(x + 1)(x + 1) = 0
x = -1, -1
x2 + 2x + 1 = 0
x2 + x + x + 1 = 0
x(x + 1) + (x + 1) = 0
(x + 1)(x + 1) = 0
x = -1, -1
Most Upvoted Answer
How many points will the graph of x2+ 2x + 1 will cut the x-axis?a)3b)...
Explanation:
The given equation is x^2 + 2x + 1 = 0.
To find the number of points at which the graph cuts the x-axis, we need to find the number of distinct real solutions to the equation.
Using the quadratic formula, we can solve the equation for x:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 1, b = 2, and c = 1. Substituting these values into the quadratic formula:
x = (-2 ± √(2^2 - 4(1)(1))) / (2(1))
x = (-2 ± √(4 - 4)) / 2
x = (-2 ± √0) / 2
Since the discriminant (√(b^2 - 4ac)) is zero, there is only one solution for x. Thus, the graph of the equation x^2 + 2x + 1 = 0 does not cut the x-axis.
Therefore, the correct answer is option 'D' which states that the graph cuts the x-axis at 0 points.
The given equation is x^2 + 2x + 1 = 0.
To find the number of points at which the graph cuts the x-axis, we need to find the number of distinct real solutions to the equation.
Using the quadratic formula, we can solve the equation for x:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 1, b = 2, and c = 1. Substituting these values into the quadratic formula:
x = (-2 ± √(2^2 - 4(1)(1))) / (2(1))
x = (-2 ± √(4 - 4)) / 2
x = (-2 ± √0) / 2
Since the discriminant (√(b^2 - 4ac)) is zero, there is only one solution for x. Thus, the graph of the equation x^2 + 2x + 1 = 0 does not cut the x-axis.
Therefore, the correct answer is option 'D' which states that the graph cuts the x-axis at 0 points.
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How many points will the graph of x2+ 2x + 1 will cut the x-axis?a)3b)1c)2d)0Correct answer is option 'D'. Can you explain this answer?
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How many points will the graph of x2+ 2x + 1 will cut the x-axis?a)3b)1c)2d)0Correct answer is option 'D'. Can you explain this answer? for Grade 10 2025 is part of Grade 10 preparation. The Question and answers have been prepared according to the Grade 10 exam syllabus. Information about How many points will the graph of x2+ 2x + 1 will cut the x-axis?a)3b)1c)2d)0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Grade 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many points will the graph of x2+ 2x + 1 will cut the x-axis?a)3b)1c)2d)0Correct answer is option 'D'. Can you explain this answer?.
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