Question

If xsqured +y squred =16, xy=10 find the value of x+y using bionomial expansion

Answer 1

x+y=6

Explanation:

to understand this

you need to know about:

• algebra
• PEMDAS

tips and formulas:

• x²+y²=(x+y)²-2xy

let's solve:

according to the question:

• (x+y)²-2xy=16

1. substitute the value of xy:(x+y)²-2.10=16
2. simplify multiplication:(x+y)²-20=16
3. add 20 to both sides:(x+y)²-20+20=16+20=>(x+y)²=36
4. 
   `\sf squre \: root \: both \: sides : \\ \sqrt{ (x + y {)}^(2)} = √(36) \\ \therefore x + y = 6`