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If one zero of the polynomial x2 - 4x +1 is 2+√3, then what is the other zero ? Please answer this question as quick as possible, it's argent?
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If one zero of the polynomial x2 - 4x +1 is 2+√3, then what is the oth...
Given information:
The polynomial is given as x^2 - 4x + 1.
One of the zeros is 2√3.
To find:
The other zero of the polynomial.
Solution:
To find the other zero of the polynomial, we can use the fact that the sum of the zeros of a quadratic polynomial is equal to the negation of the coefficient of the linear term divided by the coefficient of the quadratic term.
The quadratic polynomial is given as x^2 - 4x + 1, where the coefficient of the quadratic term is 1 and the coefficient of the linear term is -4.
Calculating the sum of the zeros:
The sum of the zeros of the polynomial is equal to -(-4)/1 = 4.
We know that one of the zeros is 2√3. Let's denote the other zero as x.
Using the sum of zeros property:
2√3 + x = 4
Simplifying the equation:
x = 4 - 2√3
Hence, the other zero of the polynomial x^2 - 4x + 1 is 4 - 2√3.
Final answer:
The other zero of the polynomial x^2 - 4x + 1 is 4 - 2√3.
The polynomial is given as x^2 - 4x + 1.
One of the zeros is 2√3.
To find:
The other zero of the polynomial.
Solution:
To find the other zero of the polynomial, we can use the fact that the sum of the zeros of a quadratic polynomial is equal to the negation of the coefficient of the linear term divided by the coefficient of the quadratic term.
The quadratic polynomial is given as x^2 - 4x + 1, where the coefficient of the quadratic term is 1 and the coefficient of the linear term is -4.
Calculating the sum of the zeros:
The sum of the zeros of the polynomial is equal to -(-4)/1 = 4.
We know that one of the zeros is 2√3. Let's denote the other zero as x.
Using the sum of zeros property:
2√3 + x = 4
Simplifying the equation:
x = 4 - 2√3
Hence, the other zero of the polynomial x^2 - 4x + 1 is 4 - 2√3.
Final answer:
The other zero of the polynomial x^2 - 4x + 1 is 4 - 2√3.
Community Answer
If one zero of the polynomial x2 - 4x +1 is 2+√3, then what is the oth...
2- root 3.
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If one zero of the polynomial x2 - 4x +1 is 2+√3, then what is the other zero ? Please answer this question as quick as possible, it's argent?
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If one zero of the polynomial x2 - 4x +1 is 2+√3, then what is the other zero ? Please answer this question as quick as possible, it's argent? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If one zero of the polynomial x2 - 4x +1 is 2+√3, then what is the other zero ? Please answer this question as quick as possible, it's argent? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one zero of the polynomial x2 - 4x +1 is 2+√3, then what is the other zero ? Please answer this question as quick as possible, it's argent?.
If one zero of the polynomial x2 - 4x +1 is 2+√3, then what is the other zero ? Please answer this question as quick as possible, it's argent? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If one zero of the polynomial x2 - 4x +1 is 2+√3, then what is the other zero ? Please answer this question as quick as possible, it's argent? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one zero of the polynomial x2 - 4x +1 is 2+√3, then what is the other zero ? Please answer this question as quick as possible, it's argent?.
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