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.


Last updated at Oct. 26, 2020 by Teachoo
Transcript
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 ๐/๐ in equation 3x2 + px + 4 = 0 3(2/3)^2+๐ ร2/3+4=0 3 ร4/9+๐ ร2/3+4=0 4/3+๐ ร2/3+4=0 4/3+4+ ๐ ร2/3=0 (4 + 16)/3+ ๐ ร2/3=0 20/3+ ๐ ร2/3=0 ๐ ร2/3=โ20/3 ๐ =โ20/3 ร3/2 ๐ = โ10 Thus, our equation becomes 3x2 + px + 4 = 0 3x2 โ 10x + 4 = 0 Now, Product of Roots = ๐/๐ First Root ร Second Root = 4/3 2/3 ร Second Root = 4/3 Second Root = 4/3 ร3/2 Second Root = 2
CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard
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