SOLUTION: Please help me solve this question If x2 - 2y2 = 7 and xy = 3 , find x and y Note : the number 2 behind x and 2y means squared thank you

Question 994117: Please help me solve this question
If x2 - 2y2 = 7 and xy = 3 , find x and y
Note : the number 2 behind x and 2y means squared
thank you
Found 2 solutions by ikleyn, solver91311:
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
.

Express y from the second equation, y = , and substitute it into the first equation. You will get single equation for the unknown x:

- = .

Multiply both sides by . You will get

= .

Factor:

= .

The roots are = - and = .

The real roots are x = +/- 3.

Correspondingly y = +/- 1.

Answer. The pairs (x,y) = (3,1) and (x,y) = (-3,-1) are real solutions.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

In the future use the caret mark (Shift-6) to indicate raising to a power. We would understand x^2 - 2y^2 = 7 to mean .

Let then,

or

Then

or

And

or

John

My calculator said it, I believe it, that settles it

RELATED QUESTIONS
If xy=-3 and x2+ y2=12 then (x-y)2=? note: the "2" behind the varibles mean squared. and (answered by jawaidak)
if x2+y2=85 and xy=9 what is (x+y)2 *the 2 behind means to the second power i... (answered by mananth)
Could someone please help me solve and show the work associated: Question 41 Solve (answered by checkley75)
Please help me solve this question: If x^2 + y^2 = 29 and xy=2, find the value of i)... (answered by tommyt3rd)
please help me solve this question {{{ if x=-2 and y=-3 what is the value... (answered by Nieleya)
add and simplify: 2/x^2y + 7/xy^2 or 2 7 --- + --- x^2y xy^2 (answered by Fombitz)
Please help me solve this problem: If xy = 64 and {{{ log (x, y) + log (y, x) = 5/2... (answered by ikleyn)
Please help me solve adding and subtracting polynomial: {{{(x^3 -3x^2y + 4xy^2 +... (answered by ichudov)
Please help me solve for x and y simultaneously {{ y-2x+1 and... (answered by Alan3354)