Looking for accurate SEBA Class 10 Maths Exercise 4.3 (Quadratic Equations) textual solutions for the 2026–27 academic year? Access complete step-by-step solutions covering the quadratic formula, discriminant nature of roots, word problems on speed, distance, age, and work-time to score top marks in your HSLC board exams.
1. Find the roots of the following quadratic equation applying quadratic formula.
(i) 2x² – 7x + 3 = 0
(ii) 2x² + x – 4 = 0
(iii) 4x² + 4√3 x + 3 = 0
(iv) 2x² + 5√3 x + 6 = 0
(v) x² + 4x + 1 = 0
(vi) 4x² + x – 3 = 0
(vii) abx² + (b² – ac)x – bc = 0
(viii) x² – 2ax + (a² – b²) = 0
(ix) a(x² + 1) = x(a² + 1)
(x) 8x(2x – 1) + 1 = 0
2. Express the equation (x – 2)/(x – 3) + (x – 4)/(x – 5) = 10/3, x ≠ 3, x ≠ 5 as a quadratic equation in standard form. Hence find the roots of the equation so formed.
SEBA Class 10 Maths Exercise 4.3 Solutions
3. Find the roots of the following equations:
(i) x – 1/x = 3, x ≠ 0
(ii) 1/(x + 4) – 1/(x – 7) = 11/30, x ≠ -4, 7
(iii) (2/3)x² – (1/3)x – 1 = 0
(iv) 2x² + 1/2 = 2x
(v) x + 1/x = 2
(vi) (5x – 6)/(4x – 1) = (2x + 3)/(3x + 2)
Class 10 Maths Chapter 4 Exercise 4.3 Question Answer SEBA 2026-27
4. The sum of the reciprocals of Rehman’s ages, (in years) 3 years ago and 5 years from now is 1/3. Find his present age.
Quadratic Equations Class 10 SEBA Ex 4.3 Solutions
5. In a class test, the sum of Shewalee’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.
6. The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.
SEBA Class 10 Maths Chapter 4 Exercise 4.3 Textbook Answers
7. The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.
8. If α and β are the roots of the equation 3x² + 8x + 2 = 0 then the value of 1/α + 1/β is
(a) 4
(b) -4
(c) 2/3
(d) -3/8
Class 10 Maths Exercise 4.3 Word Problems
📐 Updated Solutions Notice: This page features complete, step-by-step SEBA Class 10 Mathematics Chapter 4 (Quadratic Equations) Exercise 4.3 Textual Solutions updated for the 2026–27 academic session. All quadratic formula applications, discriminant calculations ($b^2 – 4ac$), and real-world word problem derivations strictly follow the latest revised Assam Board (SEBA/ASSEB) curriculum.
💡 Master Class 10 Maths Concepts:
- Having difficulty using the quadratic formula or solving speed-time word problems in Exercise 4.3? Drop your questions in the comments section below!
- Save and bookmark this solution guide for quick reference before your pre-board and HSLC board examinations.
- Share this link with your classmates and WhatsApp study groups to help them excel in mathematics!