SOLUTION: If a^2+b^2=65 and 4ab=24, calculate the value of A. (a+b)^2 B. (2a-2b)^2 Also, can you please show the solution to get the value of a and b?Thank you vey much!

SOLUTION: If a^2+b^2=65 and 4ab=24, calculate the value of A. (a+b)^2 B. (2a-2b)^2 Also, can you please show the solution to get the value of a and b?Thank you vey much!

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Question 1086791: If a^2+b^2=65 and 4ab=24, calculate the value of
A. (a+b)^2
B. (2a-2b)^2
Also, can you please show the solution to get the value of a and b?Thank you vey much!
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

So,

.
.
.

Plug in the values and calculate.
.
.
.

Substitute,

Use a substitution,

Complete the square,

So then when

and
You can then find a since,

.
.
.
Then do the same when
.
.
.

.
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