How can x2 = x2 + 2x + 9 be set up as a system of equations?

As a system of equations, set them both to y

y=x² and

y=x²+2x+9 would be one way to set them up

you could then multiply the first one by - 1 and add the equations leving you with

0=2x+9

so x=-4.5

and y = (-4.5) ²

X2 = x2 + 2x + 9 Now subtract x2 from both sides and you have

x2 - x2 = x2 - x2 + 2x + 9 or 0 = 2x + 9 now subtract 9 from both sides so you can solve for x.

0 - 9 = 2x - 9 ... and you have - 9 = 2x

Now solve for x by dividing both sides by 2 and you arrive at x = - 4.5