5. Graphical Solution of non-Linear Systems
A non-linear graph is a curve.
In this section, we see how to solve non-linear systems of equations (those involving curved lines), using a graph. Our answer will probably be approximate, unless we use a graphics calculator or a computer package.
Example
Solve the system of equations graphically:
3x − y = 4
y = 6 − 2x2
Here is the LiveMath solution to this problem.
And now for the "ordinary" answer:
Exercises
1 Solve graphically. Estimate your answer.
y = x2
xy = 4
2 Solve graphically. Estimate your answer:
y = 4x - x2
y = 2 cos x
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