Drag to intersections
Find the solutions for this system by locating where the curves cross.
Drag to substitute
Set the two equations equal to each other to solve for x.
y =
y =
Drop here
=
Drop here
Adjust to factor
We simplified the equation. Find the factors to get the x-values!
(x
{{ step3State.p >= 0 ? '+ ' + step3State.p : '- ' + Math.abs(step3State.p) }}
) (x
{{ step3State.q >= 0 ? '+ ' + step3State.q : '- ' + Math.abs(step3State.q) }}
) = 0
Expands to:
✓ Matches!
Slide to solve y
Plug your x-values into the linear equation to find the y-coordinates.
-8-4048
Target: x = {{ math.x1 }}
{{ step4State.pt1Saved ? `(${math.x1}, ${math.y1})` : '(?, ?)' }}
check_circle Saved
Target: x = {{ math.x2 }}
{{ step4State.pt2Saved ? `(${math.x2}, ${math.y2})` : '(?, ?)' }}
check_circle Saved
System Solved!
You successfully found the intersection points.
Point 1
({{ math.x1 }}, {{ math.y1 }})
Point 2
({{ math.x2 }}, {{ math.y2 }})