Question

If a²+b²=13 and ab=16, find a+b and a-b

Answer 1

Answer:

a+b=45   a-b= -19

Step-by-step explanation:

Answer 2

Answer:

( a+ b)² = a²+ 2ab +b²

( a+ b)² = a² +b² + 2ab  

Given a²+b²=13

and ab=16

( a+ b)² = a² +b² + 2ab  

( a+ b)² = 13 + 2×16

( a+ b)² = 13 + 32

( a+ b)² =  45

a+ b = √45

and

a+ b)² = a²+ 2ab +b²

( a+ b)² = a² +b² + 2ab  

Given a²+b²=13

and ab=16

( a- b)² = a² +b² - 2ab  

( a- b)² = 13 - 2×16

( a - b)² = 13 - 32

( a- b)² =  - 19

i² = -1. The imaginary number,

( a- b)² = 19i²

(a-b) = √19 i

Step-by-step explanation: