y = -2x^2
y = x - 2
Step-by-step explanation:
y = -2x^2
y = x - 2 This is alternative way of writing out the system.
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If we equate these two functions we get:
-2x^2 = x - 2, or 0 = 2x^2 + x - 2, which is a quadratic equation solvable using the quadratic formula. Here the coefficients are a = 2, b = 1 and c = -2, and so the discriminant is b^2 - 4ac, or 1 - 4(2)(-2), or 17.
The x-values of the roots of the given system are:
-1 ± √17
x = ------------
-4
