Check sibling questions

Find the roots of the quadratic equation 3x 2 - 7x - 6 = 0

This question is similar to Example 13 (i) Chapter 4 Class 10 - Quadratic Equations


Transcript

Question 1 โ€“ Choice 1 Find the roots of the quadratic equation 3๐‘ฅ2 โˆ’ 7๐‘ฅ โˆ’ 6 = 0. Given 3x2 โ€“ 7x โˆ’ 6 = 0 Comparing equation with ax2 + bx + c = 0 Here, a = 3, b = โ€“7, c = โˆ’6 We know that, D = b2 โ€“ 4ac D = (โ€“7)2 โ€“ 4 ร— 3 ร— (โˆ’6) D = 49 + 72 D = 121 So, the roots of the equation is given by x = (โˆ’ ๐’ƒ ยฑ โˆš๐‘ซ)/๐Ÿ๐’‚ Putting values x = (โˆ’(โˆ’7) ยฑ โˆš121)/(2 ร— 3) x = (๐Ÿ• ยฑ ๐Ÿ๐Ÿ)/๐Ÿ” Solving Hence, the roots of the equation are 3 and (โˆ’2)/3 .

  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo