Question 515477: Can you please show me the most simple steps to solve y=x+2 y=x^
Answer by oberobic(2304)   (Show Source):
You can put this solution on YOUR website! It appears you are trying to find a solution to two equations.
.
y = x+2 is a linear equation.
when x=0, y =2, so that is the y-intercept (0,2)
when x=-2, y=0, so that is the x-intercept (-2,0)
with two points you can draw a line.
.
y =x^2 is a quadratic equation, specifically a paraola
x = 0 results in y=0, so the parabola intersects the origin.
.
The graph will help you find the points that solve both equations simultaneously.
.
We also can set the equations equal to one another to find the simultaneous solutions.
.
x^2 = x+2
x^2 -x -2 = 0
(x-2)(x+1) = 0
.
So the roots (or zeroes) are x=2 and x=-1.
.
When x=2, y =4: (2,4)
when x=-1, y = 1: (-1,1)
|
|
|
