Hi, I am in a pre-calculus course and am having a problem with the following: a) graph the equation ^{2} - y - 4 = 0
x ^{2} + y^{2} = 9
I did not have a problem with this, I had a circle and a parabola with points (1,3) (-1,-3) (2,0) (-2,0) (3,5) and (-3,5). The problem is part (b) of the question ask: Find all solutions of the system in part (a) algebraically. Express answers in decimal form, accurate to two decimal places. I am having problems solving the math part.
y= x ^{2} + (x^{2} -4)(x^{2} - 4) = 9
x ^{2} + x^{4} -8x^{2} - 16 = 9
x ^{4} - 7x^{2} = 25
Now what? I know I need four answers as the circle cross my parabola at four points. Please help?
Thank you, Hi Patty, Ther are some errors in what you have done so far. First (1,3) is not on the parabola, but (1,-3) is.
Also the line x ^{2} + x^{4} -8x^{2} + 16 = 9
^{4} - 7x^{2} + 7 = 0
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