Solving Quadratic Equations Graphically
Graph the functions f(x)=\displaystyle {f{{\left({x}\right)}}}=x2−10x+20\displaystyle {x}^{{2}}-{10}{x}+{20} and g(x)=5\displaystyle {g{{\left({x}\right)}}}={5}.
Use your graphing calculator to find the point(s) of intersection.
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Clear All Draw: LineParabola

Use the Line Tool to draw the Horizontal Line g(x)=5\displaystyle {g{{\left({x}\right)}}}={5}.
Use the Poly Tool to draw f(x)=\displaystyle {f{{\left({x}\right)}}}=x2−10x+20\displaystyle {x}^{{2}}-{10}{x}+{20} using the vertex and one other point.
Write the Point(s) of Intersection as a list of Ordered Pairs.

Round to the nearest hundredth as needed.
Use a comma to separate the intersection points.
Write the solution(s) to the equation x2−10x+20\displaystyle {x}^{{2}}-{10}{x}+{20} =5\displaystyle ={5}
x=\displaystyle {x}=
Round to the nearest hundredth as needed.
Use a comma to separate the solutions.
Write the solution(s) to the INEQUALITY x2−10x+20\displaystyle {x}^{{2}}-{10}{x}+{20} <5\displaystyle <{5}
<x<\displaystyle <{x}<
Round to the nearest hundredth as needed.

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