02 Apr 2022

Samacheer kalvi 10th Maths – Algebra Ex 3.10

10th Maths Book Back Question and Answers – Chapter 3 Exercise 3.10:

Samacheer Kalvi 10th Standard Maths Book Back Questions with Answers PDF uploaded and the same given below. Class-tenth candidates and those preparing for TNPSC exams can check the Maths Book Back Answers PDF below. Samacheer Kalvi Class 10th Std Maths Book Back Answers Chapter 3 Exercise 3.10 Solutions are available below. Check the complete Samacheer Kalvi 10th Maths – Algebra Ex 3.10 Book Back Answers below:

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Samacheer Kalvi 10th Maths Book Back Answers – Ex 3.10 Algebra

Samacheer Kalvi 10th Maths Book Subject One Mark, Two Mark, Five Mark Guide questions and answers are below. Check Maths Book Back Questions with Answers. Take the printout and use it for exam purposes.

For Samacheer Kalvi 10th Maths Book PDF, check the link – 10th Maths Book PDF

Chapter 3

Exercise 3.10 Algebra

1. Solve the following quadratic equations by factorization method
(i) 4x2 – 7x – 2 = 0
(ii) 3(p2 – 6) = p(p + 5)
(iii) a(a−7)−−−−−−−√=32–√
(iv) 2–√x2+7x+52–√=0
(v) 2x2 – x + 18 = 0
Solution:
10th maths unit - 3 book back answer

(ii) 3(p2 – 6) = p(p + 5)
3p2 – 18 = p2 + 5p ⇒ 392 – 5p – 18 = 0
⇒ 2p2 – 5p – 18 = 0
⇒ (2p – 9) (p + 2) = 0 ⇒ p = 92, -2

(iii) a(a−7)−−−−−−−√=32–√
Squaring on both sides
a(a – 7) = 9 × 2
a2 – 7a – 18 = 0
a2 – 9a + 2a – 18 = 0
a(a – 9) + 2(a – 9) = 0
(a – 9) (a + 2) = 0
⇒ a = 9, a = -2

10th maths unit - 3 book back answer

(v) 2x2 – x + 18 = 0
16x2 – 8x + 1 = 0
16x2 – 4x – 4x + 1 = 0
4x(4x – 1) – 1(4x – 1) = 0
(4x – 1) (4x – 1) = 0
⇒ x = 14,14

 

2. The number of volleyball games that must be scheduled in a league with n teams is given by G(n) = n2−n2 where each team plays with every other team exactly once. A league schedules 15 games. How many teams are in the league?
Answer:
Number of games = 15
G(n) = n2−n2
n2−n2 = 15
n2 – n = 30 ⇒ n2 – n – 30 = 0
⇒ n2– 6n – 5n – 30 = 0
(n – 6) (n + 5) = 0
n – 6 = 0 or n + 5 = 0
[Note: – 5 is neglected because number of team is not negative]
n = 6 or n = -5
∴ Number of teams = 6

Other Important Links for 10th Maths Book Back Answers Solutions:

For 10th Maths Chapter 3 book back question and answers, check the link – Samacheer kalvi 10th Maths Chapter 3 Algebra

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