If one root of the quadratic equation 3x 2 + px + 4 = 0 is 2/3, then find
the value of p and the other root of the equation.

If one root of the quadratic equation 3x2+px+4=0 is 2/3, then find

Question 28 (Choice - 1) - CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard - Part 2
Question 28 (Choice - 1) - CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard - Part 3

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Question 28 (Choice - 1) If one root of the quadratic equation 3x2 + px + 4 = 0 is 2/3, then find the value of p and the other root of the equation.Since one root is 2/3 Putting šŸ/šŸ‘ in equation 3x2 + px + 4 = 0 3(2/3)^2+š‘ Ɨ2/3+4=0 3 Ɨ4/9+š‘ Ɨ2/3+4=0 4/3+š‘ Ɨ2/3+4=0 4/3+4+ š‘ Ɨ2/3=0 (4 + 16)/3+ š‘ Ɨ2/3=0 20/3+ š‘ Ɨ2/3=0 š‘ Ɨ2/3=āˆ’20/3 š‘ =āˆ’20/3 Ɨ3/2 š’‘ = āˆ’10 Thus, our equation becomes 3x2 + px + 4 = 0 3x2 āˆ’ 10x + 4 = 0 Now, Product of Roots = šŸ’/šŸ‘ First Root Ɨ Second Root = 4/3 2/3 Ɨ Second Root = 4/3 Second Root = 4/3 Ɨ3/2 Second Root = 2

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