Question

if a + b is equal to 10 and a x b is equal to 16 then find a square + b square + Ab​

Answer 1

Answer:

84

Step-by-step explanation:

since a+b =10, a × b = 16, a= 2 and b=8 or vice versa

so a² + b² +Ab = 2² +8² +2×8 = 84

Answer 2

Answer:

68

Step-by-step explanation:

There are 2 ways to solve this question:

1. By using the formula. (Very time-consuming).

2. By guessing what the values of a and b might be (More efficient and faster).

(I prefer the 2nd method.)

You can assume the value of a=8 and b=2.

a + b = 10 ==> 8 + 2 = 10

a X b = 16 ==> 8 X 2 = 16

a^2 + b^2 = 68 ==> 8^2 + 2^2 = 68

Voila! You have not only found the answer to your question but also the value of a and b !