Two equations and their graphs are given. Find the intersection points of the graphs by solving the system. (Order your answers from smallest to largest x, then from smallest to largest y.)
x^2 + y^2 = 8x
x = y^2
*There is an image here but I dunno how to put it on here.
*Should be 3 points that intersect
x^2 + y^2 = 8x
x = y^2
*There is an image here but I dunno how to put it on here.
*Should be 3 points that intersect
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There are many methods for solving multiple equations, but basically you need to combine them and substitute to get down to an equation in one variable. Here, it's easy; just substitute y^2 = x:
x^2 + x = 8x
x^2 - 7x = 0
x(x-7) = 0
x = 0 or 7
Now - what values of y will let x = 0 or 7? y = 0, or y = +/-sqrt(7). So the three points are:
(0,0)
(7,sqrt(7))
(7,-sqrt(7))
Hope this helped!
x^2 + x = 8x
x^2 - 7x = 0
x(x-7) = 0
x = 0 or 7
Now - what values of y will let x = 0 or 7? y = 0, or y = +/-sqrt(7). So the three points are:
(0,0)
(7,sqrt(7))
(7,-sqrt(7))
Hope this helped!