Question

If a + b = 4 and a2 + b2 = 10, what is the value of ab?​

Answer 1

Answer:

ab=3

Step-by-step explanation:

a+b=4(given)

a^2+b^2=10(given)

Applying (a+b)^2 formula

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

(4)^2 = 10+2ab

16=10+2ab

16-10=2ab

6=2ab

6/2=ab

3=ab

ab=3

Answer 2

Answer:

Given, a+ b = 4

a= 4- b

Now put the value of a in

a2+ b2= 10

(4-b)2 + b2= 10

16-b2-8b+b2=10

16-8b=10

b=3/4

now put the value of b in

a= 4-b

a= 4- 3/4

a=13/4

now value of ab

ab = 13/4*3/4= 39/16