Solve quadratic equation Solving quadratic and quadratic form equations using the graphing calculator Y = Solve quadratic equation Standard window view ZOOM WINDOW Math 99 D.Sluys

Use Zoom Box ZOOM 1:ZBox 2 1 -1 1 2 -1 -2 -3 -4

Use Trace to estimate solutions Use arrow keys to move cursor along curve TRACE Under estimate Over estimate

Second solution estimated using TRACE Under estimate Over estimate

we estimate two solutions to the equation Using Trace feature, we estimate two solutions to the equation One between -0.4572205 and -.5002263 And one between 1.330919 and 1.3716614 To get a more accurate answer, use 2nd function CALC features 2nd CALC

2nd CALC 2:ZERO solution

Calculate other zero 2nd CALC 2:ZERO solution

Using Trace feature, we estimated two solutions to the equation One between -0.4572205 and -.5002263 And one between 1.330919 and 1.3716614 Using 2nd function CALC feature, We get more accurate solutions to the same equation: x = -0.5 and x = 1.3333333

Algebraically, we solved: Solve this same equation using calculator

Graph equation Standard window size shows one root about -8 Another window size can show two roots but with low accuracy

Choose window size to focus on areas with roots

Use calculator to get a feel for type of roots 2 real roots 1 real repeated root Two imaginary roots

Use calculator to get a feel for type of roots

Challenge: