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
Last updated at Jan. 16, 2022 by
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 3๐ฅ2 โ 7๐ฅ โ 6 = 0. Given 3x2 โ 7x โ 6 = 0 Comparing equation with ax2 + bx + c = 0 Here, a = 3, b = โ7, c = โ6 We know that, D = b2 โ 4ac D = (โ7)2 โ 4 ร 3 ร (โ6) D = 49 + 72 D = 121 So, the roots of the equation is given by x = (โ ๐ ยฑ โ๐ซ)/๐๐ Putting values x = (โ(โ7) ยฑ โ121)/(2 ร 3) x = (๐ ยฑ ๐๐)/๐ Solving x = (7 + 11)/6 x = 18/6 x = 3 x = (7 โ 11)/6 x = (โ4)/6 x = (โ๐)/๐ Hence, the roots of the equation are 3 and (โ2)/3 .
CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2]
Question 1 (Choice 2)
Question 2 Important
Question 3
Question 4
Question 5
Question 6 (Choice 1)
Question 6 (Choice 2)
Question 7
Question 8 (Choice 1)
Question 8 (Choice 2)
Question 9
Question 10
Question 11 (Choice 1)
Question 11 (Choice 2)
Question 12
Question 13 - Case Study
Question 14 - Case Study
CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2]
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