If x = 2 + and y = 2 - , then find the value of (x² + y²), Please do not spam.
Answers
Answered by
5
Given:-
X=2+√2
Y=2-√2
To find:-
X²+Y²
Solution:-
First find out X² and Y² separately than add.
X²=(2+√2)²
X²=4+2+4√2
→6+4√2-----------------------------------(1)
Y²=(2-√2)²
→ 6-4√2-----------------------------------(2)
Now add (1) and (2)
X²+Y²=(6+4√2) +(6-4√2)
→ 12
Final answer
X²+Y²=12
Answered by
37
Given :-
To find :-
Solution :-
Expanding the terms by using (a + b)² = a² + 2ab + b²
(a-b)² = a² -2ab + b²
So,
x² + y² =
So,
x² + y² = 12
Know more Algebraic Identities:-
- ( a + b)² = a² + 2ab + b²
- ( a- b)² = a² -2ab + b²
- ( a+ b)(a- b) = a² -b²
- (a + b)² + (a -b)² = 2(a² + b²)
- ( a + b)² - ( a- b)² = 4ab
- ( a + b)³ = a³ + 3ab( a +b) + b³
- ( a- b)³ = a³ -3ab( a-b) - b³
- If a + b + c = 0 then a³ + b³ + c³ = 3abc
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