Thread: Simultaenous Eq. with two unknowns

(root)x+y=11, x+(root)y=7

Can anyone help me to find the values of X and Y? Thanks.

Originally Posted by cheque

(root)x+y=11, x+(root)y=7

Can anyone help me to find the values of X and Y? Thanks.

Well, I just guessed and checked and found that x = 4 and y = 9.

Equation 1: root(4) + 9 = 2 + 9 = 11 This checks out
Equation 2: 4 + root(9) = 4 + 3 = 7 This also checks out

I'll try to find the actual method for arriving at this conclusion.

Originally Posted by ajj86

Well, I just guessed and checked and found that x = 4 and y = 9.

Equation 1: root(4) + 9 = 2 + 9 = 11 This checks out
Equation 2: 4 + root(9) = 4 + 3 = 7 This also checks out

I'll try to find the actual method for arriving at this conclusion.

Yeah, I got the answer through brute-forcing too. . Take your time and please update on your progress.

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Try the factor of 1444 as roots. You should not search for a long time.
I keep thinking there must be a more elegant solution but this is one.