Mathematics
sagal
11

Which of the following is a solution to the system of nonlinear equations below? {y=x^2 {y=-x+2

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(1) Answers
andrades

y = x^2 . . . (1) y = -x + 2 . . . (2) Putting (1) into (2) gives, x^2 = -x + 2 x^2 + x - 2 = 0 x^2 - x + 2x - 2 = 0 x(x - 1) + 2(x - 1) = 0 (x + 2)(x - 1) = 0 x = -2 or x = 1 y = (-2)^2 or y = (1)^2 y = 4 or y = 1 Solution is (-2, 4) and (1, 1)

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