methods to solve : { <mtable columnalign="left left" rowspacing=".2em" columnspacing=

crossoverman9b

crossoverman9b

Answered question

2022-06-15

methods to solve : { x + y = 6 x 2 + y 2 = 65

Answer & Explanation

Samantha Reid

Samantha Reid

Beginner2022-06-16Added 22 answers

65 = x 2 + y 2
65 = ( x + y ) 2 2 x y
65 = 36 2 x y
2 x y = 29
( x y ) 2 = x 2 + y 2 2 x y = 65 + 29 = 94
( x y ) = ± 94
Now solve simultaneous linear equations to get answers
Alternatively
( x + y ) = 65 and x y = 29 2
Hence x,y are the roots of the quadratic
2 m 2 12 m 29 = 0
Now solve using quadratic formula

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?