x=1,-0.5
to find y simply plug in the x's
y=1,0
Solved by pluggable solver: SOLVE quadratic equation with variable |
Quadratic equation For these solutions to exist, the discriminant First, we need to compute the discriminant Discriminant d=9 is greater than zero. That means that there are two solutions: Quadratic expression Again, the answer is: 1, -0.5. Here's your graph: |
You don't need to use the quadratic formula, as the other tutor used, because it leads to a factorable quadratic:Solve the second equation for y: Substitute in the first equation in the system So there are two solutions for x. We must find a value of y for each of them, by substituting each in Substituting , So one solution is (x,y) = ( ,-2) Substituting , So the other solution is (x,y) = (1,1) --------------------------- Checking (x,y) = ( ,-2) Checking (x,y) = (1,1) Edwin