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Posted by on Wednesday, April 20, 2011 at 11:06am.

Solve the following, then check your answer by graphing.
x^2+4y^2=25
y^2-x=1

  • algebra - , Thursday, April 21, 2011 at 11:37pm

    Eq1: X^2 + 4Y^2 = 25.

    Eq2: Y^2 - X = 1.
    Y^2 = X + 1.

    In Eq1, substitute

  • algebra - , Friday, April 22, 2011 at 12:06am

    Eq1: X^2 + 4Y^2 = 25.

    Eq2: Y^2 - X = 1.
    Y^2 = X + 1.

    In Eq1, substitute X+1 for Y^2:
    X^2 + 4(X+1) = 25,
    X^2 + 4X + 4 = 25,
    (X+2)^2 = 25,
    Take sqrt of both sides:
    X+2 = +-5,
    X = X = 5-2 = 3.
    X = -5-2 = -7.

    Solution set: (3,+-2), (-7,+-sqrt6i).

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