Question

If a²+b²=25 and ab=12 find a+b and a-b​

Answer 1

(a+b)^2 = a^2 +b^2 +2ab

a+b = √25+24

a+b = √49

a+b = 7

(a-b)^2 = a^2 +b^2 - 2ab

a-b = √25 - 24

a-b = √1

a-b = +1 or -1

Answer 2

Answer:

Given : a²+b²=25 and ab=12

To find : a+b and a-b

Solution : we know that

(a+b)²= a²+b²+2ab

=> (a+b)² = 25+24 = 49 .............(from given )

=> a+b=√(49) = 7

(a-b)²=a²+b²-2ab

=>(a-b)²=25-24=1 .................... (from given)

=>a-b= √1 = 1

so a+b= 7 and a-b= 1

hope so it helps you dear