plz help me..........
Attachments:
shaanbodhp56mnq:
i got the answer but too many people are typing
Answers
Answered by
0
hope this will be easiest
Attachments:
Answered by
1
Given x + y = 7/2
On squaring both sides, we get
(x + y)^2 = (7/2)^2
x^2 + y^2 + 2xy = 49/4
x^2 + y^2 + 2(5/2) = 49/4
x^2 + y^2 + 5 = 49/4
x^2 + y^2 = 49/4 - 5
x^2 + y^2 = 49 - 20/4
x^2 + y^2 = 29/4 ------------ (1)
We know that (a - b)^2 = a^2 + b^2 - 2ab.
Now,
(i) (x - y)^2 = x^2 + y^2 - 2xy
= 29/4 - 2(5/2)
= 29/4 - 5
= 9/4
x - y = 3/2
(ii) x^2 - y^2 = (x + y)(x - y)
= (7/2) * (3/2)
= 21/4.
x^2 - y^2 = 21/4.
Hope this helps!
On squaring both sides, we get
(x + y)^2 = (7/2)^2
x^2 + y^2 + 2xy = 49/4
x^2 + y^2 + 2(5/2) = 49/4
x^2 + y^2 + 5 = 49/4
x^2 + y^2 = 49/4 - 5
x^2 + y^2 = 49 - 20/4
x^2 + y^2 = 29/4 ------------ (1)
We know that (a - b)^2 = a^2 + b^2 - 2ab.
Now,
(i) (x - y)^2 = x^2 + y^2 - 2xy
= 29/4 - 2(5/2)
= 29/4 - 5
= 9/4
x - y = 3/2
(ii) x^2 - y^2 = (x + y)(x - y)
= (7/2) * (3/2)
= 21/4.
x^2 - y^2 = 21/4.
Hope this helps!
Similar questions
Math,
8 months ago
Physics,
8 months ago
Science,
8 months ago
Math,
1 year ago
Computer Science,
1 year ago