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determine y as a function of x

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Does the equation x^2 - y^2 = 1 determine y as a function of x?

asked Dec 20, 2017 in ALGEBRA 1 by anonymous

1 Answer

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The Equation is x^2 - y^2 = 1

Subtract  "x^2" on both sides

x^2 - y^2 - x^2 = 1 - x^2

0 - y^2 = 1 - x^2

Multiply with "-1" on both sides

-1 (-y^2) = -1(1 - x^2)

y^2 = -1 + x^2

y^2 = x^2 - 1

Apply "sqrt" on both sides

(y^2)^1/2 = (1 - x^2)^1/2

y = (1 - x^2)^1/2

answered Dec 21, 2017 by homeworkhelp Mentor

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