Solve the equation x^2 /2 = x+4 graphically and find the coordinates of their points of intersection algebraically.

Question

amorfide · Answer

when you have simultaneous equations
such as

$$y=\frac{ x^{2} }{ 2 }$$
$$y=x+4$$

since they are both equal to y, we can write it like this
$$\frac{ x^{2} }{ 2 }=x+4$$

now that we know this
we can split what you have, into two equations in the form of y=...

amorfide · Answer

so you would draw the graph for the two equations above, on the same graph

amorfide · Answer

your next step, is to just check your grpah that you drew, and get the points of intersection by reading directly from the graph

amorfide · Answer

to solve algebraically

you would use what you are given

x^2 /2 = x+4

and solve for x
you will end up with 2 values of x, due to having a quadratic

then you would split it up again

y=x+4
y=x^2/2

then substitute your values of x, into one of these equations, and then you will have two y values, and your points of intersections will be written as 
$$(x_{1},y_{1}),(x_{2},y_{2})$$

amorfide · Answer

obviously they will be the values that you worked out

amorfide · Answer

@SugarMochi  are you still there?

directrix · Answer

@SugarMochi    Is there supposed to be a y-variable?

>     the equation x^2 /2 = x+4

zzr0ck3r · Answer

They want the user to solve it graphically. You can think of "them" (left and right of equals) as functions in the form y= , and then solve as stated above.