One of the most important and exam oriented question from polynomials in which we have given a equation 3x²-x-4 and we have to find the zeroes of the given quadratic polynomials and also asked to verify the relationship between the zeroes and the coefficients
RS Aggarwal, Class 10, chapter 2A, question no 12
3x²−x−4=0 (here a=3, b=-1, c=-4)
⇒3x²−4x+3x−4=0
⇒3x(x+1)−4(x+1)=0
⇒x=34,−1
Sum of roots=4/3−1=1/3=−b/a
Product of roots =4/3(−1)=−4/3=c/a