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Anyone solve plz.zeroes of cubic polynomial X3-6X2 +3X+ 10 are of form a,a b,a-b . Find a and b and zeroes of polynomial also . where a and b are real values ?
Most Upvoted Answer
Anyone solve plz.zeroes of cubic polynomial X3-6X2 +3X+ 10 are of form...
Alpha = a , beeta = a +b & gamma = a - b
alpha + beeta + gamma = -b/a
a + a + b +a - b = -(-6)
3a = 6
a = 2
alpha × beeta × gamma = -d/a
a (a -b) (a +b) = -10
2 (a^2 - b^2) = -10
2^2 -b^2 = -5
4 - b^2 = -5
b^2 = 9
b = 3
alpha + beeta + gamma = -b/a
a + a + b +a - b = -(-6)
3a = 6
a = 2
alpha × beeta × gamma = -d/a
a (a -b) (a +b) = -10
2 (a^2 - b^2) = -10
2^2 -b^2 = -5
4 - b^2 = -5
b^2 = 9
b = 3
Community Answer
Anyone solve plz.zeroes of cubic polynomial X3-6X2 +3X+ 10 are of form...
Analysis of the Cubic Polynomial X^3 - 6X^2 + 3X + 10:
- Finding the Zeroes:
To find the zeroes of the cubic polynomial, we look for values of x where the polynomial equals zero. The zeroes are the values of x for which the polynomial factors into (x - a)(x - b)(x - c) = 0.
- Given Form of Zeroes:
The zeroes of the polynomial are of the form a, a-b, and a+b.
- Let's Assume the Zeroes:
Let's assume that the zeroes of the polynomial are a, a-b, and a+b.
- Sum and Product of Zeroes:
The sum of the zeroes of a cubic polynomial is given by -(-6)/1 = 6 and the product of the zeroes is 10.
- Equation Formation:
Using the sum and product of zeroes, we can form the following equations:
a + (a - b) + (a + b) = 6
a(a - b)(a + b) = 10
- Solving the Equations:
By solving the equations simultaneously, we can find the values of a and b. Then, we can substitute these values to find the zeroes of the polynomial.
- Conclusion:
By following the steps mentioned above, we can determine the values of a and b and find the zeroes of the given cubic polynomial X^3 - 6X^2 + 3X + 10.
- Finding the Zeroes:
To find the zeroes of the cubic polynomial, we look for values of x where the polynomial equals zero. The zeroes are the values of x for which the polynomial factors into (x - a)(x - b)(x - c) = 0.
- Given Form of Zeroes:
The zeroes of the polynomial are of the form a, a-b, and a+b.
- Let's Assume the Zeroes:
Let's assume that the zeroes of the polynomial are a, a-b, and a+b.
- Sum and Product of Zeroes:
The sum of the zeroes of a cubic polynomial is given by -(-6)/1 = 6 and the product of the zeroes is 10.
- Equation Formation:
Using the sum and product of zeroes, we can form the following equations:
a + (a - b) + (a + b) = 6
a(a - b)(a + b) = 10
- Solving the Equations:
By solving the equations simultaneously, we can find the values of a and b. Then, we can substitute these values to find the zeroes of the polynomial.
- Conclusion:
By following the steps mentioned above, we can determine the values of a and b and find the zeroes of the given cubic polynomial X^3 - 6X^2 + 3X + 10.
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Anyone solve plz.zeroes of cubic polynomial X3-6X2 +3X+ 10 are of form a,a b,a-b . Find a and b and zeroes of polynomial also . where a and b are real values ?
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Anyone solve plz.zeroes of cubic polynomial X3-6X2 +3X+ 10 are of form a,a b,a-b . Find a and b and zeroes of polynomial also . where a and b are real values ? 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 Anyone solve plz.zeroes of cubic polynomial X3-6X2 +3X+ 10 are of form a,a b,a-b . Find a and b and zeroes of polynomial also . where a and b are real values ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Anyone solve plz.zeroes of cubic polynomial X3-6X2 +3X+ 10 are of form a,a b,a-b . Find a and b and zeroes of polynomial also . where a and b are real values ?.
Anyone solve plz.zeroes of cubic polynomial X3-6X2 +3X+ 10 are of form a,a b,a-b . Find a and b and zeroes of polynomial also . where a and b are real values ? 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 Anyone solve plz.zeroes of cubic polynomial X3-6X2 +3X+ 10 are of form a,a b,a-b . Find a and b and zeroes of polynomial also . where a and b are real values ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Anyone solve plz.zeroes of cubic polynomial X3-6X2 +3X+ 10 are of form a,a b,a-b . Find a and b and zeroes of polynomial also . where a and b are real values ?.
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