Thread: linear quadratic equation

solve equation algebraically, check all solutions

y=x squared - x
x+y=4

Originally Posted by blame_canada100

solve equation algebraically, check all solutions

y=x squared - x
x+y=4

you mean, solve the system of equations...

from the second equation, we see that , plug this into the first equation, we get



now continue. solve for all the values of and then plug them into to find the corresponding values for

I got x + (x^2 - x) = 4
x^2 = 4
x = 2 or -2
2 + y = 4
y = 2
-2 + y = 4
y = 6

When x is 2 y is 2, when x is -2 y is 6
(2,2) (-2,6) or the possible solutions