SOLUTION: Please help me find the exact solution of {{{y=x^2-5}}} {{{y=x-3}}} the chapter in my book is cirlcles, lines, and parabolas. i need my work shown as well.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please help me find the exact solution of {{{y=x^2-5}}} {{{y=x-3}}} the chapter in my book is cirlcles, lines, and parabolas. i need my work shown as well.       Log On


   

Question 303777: Please help me find the exact solution of y=x%5E2-5 y=x-3 the chapter in my book is cirlcles, lines, and parabolas. i need my work shown as well.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
this is the intersection of a line and a parabola

substituting ___ x^2 - 5 = x - 3

subtracting x-3 ___ x^2 - x - 2 = 0

factoring ___ (x+1)(x-2) = 0 ___ x = -1 ___ and ___ x = 2

substituting into y=x-3 ___ when x=-1, y=-4 ___ when x=2, y=-1

the points of intersection are (-1,-4) and (2,-1)