Question

if a+b =7 and ab =6 then a²+b² is equal to?​

Answer 1

Answer:

37

Step-by-step explanation:

a+b=7

ab=6

by (a+b)^2 formula

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

a^2+b^2+12=49

a^2+b^2=37

hope this helps u

Answer 2

Answer:

Given a+b=7, ab= 6. then a^2+b^2=?, a+b=7. By squaring on both sides we get, (a+b)^2= 49, (a+b)^2= a^2+b^2+2ab. i.e a^2+b^2+2ab= 49. a^2+b^2= 49-2ab. ab= 6, Then 2ab = 12. a^2+b^2= 49-12= 37. Hence the value of a^2+b^2= 37. Hope this helps you.