Aptitude - Square Root and Cube Root - Discussion

Discussion Forum : Square Root and Cube Root - General Questions (Q.No. 7)
7.
If x = 3 + 1 and y = 3 - 1 , then the value of (x2 + y2) is:
3 - 1 3 + 1
10
13
14
15
Answer: Option
Explanation:

x = (3 + 1) x (3 + 1) = (3 + 1)2 = 3 + 1 + 23 = 2 + 3.
(3 - 1) (3 + 1) (3 - 1) 2

y = (3 - 1) x (3 - 1) = (3 - 1)2 = 3 + 1 - 23 = 2 - 3.
(3 + 1) (3 - 1) (3 - 1) 2

x2 + y2 = (2 + 3)2 + (2 - 3)2

   = 2(4 + 3)

   = 14

Discussion:
45 comments Page 4 of 5.

SAMART BOY said:   1 decade ago
(2 + 3)2 + (2 - 3)2

= 2(4 + 3) ?

Can you explain?

Skrn said:   10 years ago
The question I got didn't have a root 3 value. Thanks.

Anjani said:   1 decade ago
We can do help from the equation (x2+y2)=(x+y)2-2xy;

Naomi Mwamba said:   4 years ago
Can someone clearly explain this in step by step?
(3)

Gopi said:   1 decade ago
The answer is to its formula (x+y)^2=x^2+y^2+2xy.

Sinthu said:   8 years ago
I couldn't understand. How is it possible?
(1)

Bhavesh Joshi said:   1 decade ago
Is there any shortcut method to solve ?

KARTHI said:   9 years ago
How to solve this problem logically?

Naren said:   8 years ago
Here, 2(x^2+y^2) = (x+y)^2+(x+y)^2.

Gaurav said:   1 decade ago
Asnwer to this seems to be '-10'.


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