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# Simultaneous equation watch

1. x^2 - y^2 =14
xy = 24
What’s x and y equal to? Why my teacher says there are no real roots?
2. (Original post by XchickenX)
x^2 - y^2 =14
xy = 24
What’s x and y equal to? Why my teacher says there are no real roots?
and from eq (2) we get that . Sub the prev. one in which yields a quartic, which is a disguised quadratic, of . This indeed has two real roots, and hence you can find their counterparts via eq (2)

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