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Method

Solving Quadratic Equations Graphically

If the dependent variable of a quadratic function is exchanged for a constant, say

D,

the result is a quadratic equation:

a x^{2} + b x + c = D .

This type of equation can be solved graphically. This is done by first plotting the function

y = a x^{2} + b x + c,

then finding the

x

-coordinate of the point(s) on the graph that has the

y

-coordinate

D .

The

x

-coordinate(s) is the solution to the equation.

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