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Ksju [112]
4 years ago
5

Solve for y: Y^2-2xy=1

Mathematics
1 answer:
krok68 [10]4 years ago
4 0

Answer:

y = x ±√(x²+1)

Step-by-step explanation:

Rewrite to standard quadratic form, then use the quadratic formula.

... y² -2xy -1 = 0

... a=1, b=-2x, c=-1, so the quadratic formula

... y = (-b ±√(b²-4ac))/(2a)

can be filled in as ...

... y = -(-2x) ±√((-2x)² -4(1)(-1)))/2(1))

... y = x ±√(x² +1)

For any given value of x, there are two possible values of y. This is <em>not</em> a function.

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