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Find the descrimination of3xsqaure-2x 1/3hence find nature if root?
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Find the descrimination of3xsqaure-2x 1/3hence find nature if root?
Q. 3x square - 2x + 1/3
solution :- take LCM , so the LCM is 3
(3x square - 2x + 1 )/ 3
so the new quadratic polynomial is :
k(9x square - 6x +1 )
a = 9 , b = -6 , c = 1
so, we have to find discriminant
D = (b) square - 4 (a) (c)
D = (-6) square - 4 (9) (1)
D = 36 - 36
D = 0
discriminant is equal to zero.
so the roots are real and equal.
solution :- take LCM , so the LCM is 3
(3x square - 2x + 1 )/ 3
so the new quadratic polynomial is :
k(9x square - 6x +1 )
a = 9 , b = -6 , c = 1
so, we have to find discriminant
D = (b) square - 4 (a) (c)
D = (-6) square - 4 (9) (1)
D = 36 - 36
D = 0
discriminant is equal to zero.
so the roots are real and equal.
Community Answer
Find the descrimination of3xsqaure-2x 1/3hence find nature if root?
Discriminant of the quadratic equation
The discriminant of a quadratic equation in the form of ax^2 + bx + c is given by the formula: Δ = b^2 - 4ac. For the equation 3x^2 - 2x + 1/3, a = 3, b = -2, and c = 1/3. Let's calculate the discriminant.
Calculating the discriminant
Δ = (-2)^2 - 4(3)(1/3) = 4 - 4 = 0
The discriminant is zero in this case, which means the roots of the quadratic equation are real and equal.
Nature of the roots
1. When the discriminant is zero, the roots of the quadratic equation are real and equal.
2. In this case, the equation has two identical roots.
3. The equation 3x^2 - 2x + 1/3 has real and equal roots.
Therefore, the nature of the roots of the quadratic equation 3x^2 - 2x + 1/3 is real and equal.
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Find the descrimination of3xsqaure-2x 1/3hence find nature if root?
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Find the descrimination of3xsqaure-2x 1/3hence find nature if root? 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 Find the descrimination of3xsqaure-2x 1/3hence find nature if root? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the descrimination of3xsqaure-2x 1/3hence find nature if root?.
Find the descrimination of3xsqaure-2x 1/3hence find nature if root? 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 Find the descrimination of3xsqaure-2x 1/3hence find nature if root? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the descrimination of3xsqaure-2x 1/3hence find nature if root?.
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