Question

9. If a - b = 4 and a + b = 6; find :
(i) a2+ b2
(u) ab​

Answer 1

Step-by-step explanation:

a-b= 4

So,a= 4+b

a+b= 6

(4+b)+b = 6.

2b = 2

b = 1

a = 4+b =4+(1) = 5

(i) a²+b² = 25+1 = 26

u. ab = (5)(1) = 5

Answer 2

Answer:

(i) 26

(u) 5

Step-by-step explanation:

a - b = 4

a + b = 6

Adding both the equations we get ;

2a = 10. [a+a-b+b = 2a]

a = 5

a - b = 4

5 - b = 4

b = 5-4 = 1

a = 5 & b = 1

(i) a^2 + b^2 = 5^2 + 1^2

= 25 + 1

= 26

(u) ab = 5*1 = 5