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 π/π in equation
3x2 + px + 4 = 0
3(2/3)^2+π Γ2/3+4=0
3 Γ4/9+π Γ2/3+4=0
4/3+π Γ2/3+4=0
4/3+4+ π Γ2/3=0
(4 + 16)/3+ π Γ2/3=0
20/3+ π Γ2/3=0
π Γ2/3=β20/3
π =β20/3 Γ3/2
π = β10
Thus, our equation becomes
3x2 + px + 4 = 0
3x2 β 10x + 4 = 0
Now,
Product of Roots = π/π
First Root Γ Second Root = 4/3
2/3 Γ Second Root = 4/3
Second Root = 4/3 Γ3/2
Second Root = 2
Made by
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.
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