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.
CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard
CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard
Last updated at July 19, 2026 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 š/š in equation 3x2 + px + 4 = 0 3(2/3)^2+š Ć2/3+4=0 3 Ć4/9+š Ć2/3+4=0 4/3+š Ć2/3+4=0 4/3+4+ š Ć2/3=0 (4 + 16)/3+ š Ć2/3=0 20/3+ š Ć2/3=0 š Ć2/3=ā20/3 š =ā20/3 Ć3/2 š = ā10 Thus, our equation becomes 3x2 + px + 4 = 0 3x2 ā 10x + 4 = 0 Now, Product of Roots = š/š First Root Ć Second Root = 4/3 2/3 Ć Second Root = 4/3 Second Root = 4/3 Ć3/2 Second Root = 2