Maths Class 10
Solutions of Sample Papers for Class 10 Boards

Question 1 (Choice 1) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2] - Solutions of Sample Papers for Class 10 Boards

Last updated at August 12, 2026 by

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

[Sample Paper] Find roots of quadratic equation 3๐‘ฅ^2 โˆ’ 7๐‘ฅ โˆ’ 6 = 0 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2]

part 2 - Question 1 (Choice 1) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2] - Solutions of Sample Papers for Class 10 Boards - Class 10

Remove Ads
Teachoo ยท Class 10 Explore Class 10

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 .

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.