Soyour finger will be on the touchpad here, I am using my computer's touchpad, you aregoing to put the cursor the left of the x intercept you would like. And as you can see here it is saying lower bounds. So graphically what we are going to do is hit menu, selectAnalyze Graph, go over and choose Zero, and a zero. We are letting y equal zeroand finding the solutions. So anywhere the graph crosses the xaxis is a solution. Ok, so this effectivelyy equals 2x^2-5x+2.Īnd hit enter for graph and viola! There is our equation's graph.Now a solution is an x intercept, it is a root. Let's do the graphical solution first.So we are going to select the show entry line. So with this middle buttonon the left side of the calculator here we are going to toggle between the calculatorscratch pad here and the graphing scratch pad. So we are goingto use the scratch pad just to do this as quickly as possible. But this willbe a nice way to check your algebraic work that you show your teacher. We are going to learn how to solve a one variableequation both graphically and just telling the calculator to solve this algebraic equation.Now of course we are not really solving the equation, the calculator is. solvea one variable equation whether it be linear equation, a quadratic equation, an equationwith a degree of three. A quadratic equation has no real solutions if its graph has no x-intercepts.I am going to show you have to find.A quadratic equation has one root it its graph has one x-intercept.
Another way of solving a quadratic equation is to solve it graphically. You know by now how to solve a quadratic equation using factoring. A quadratic equation as you remember is an equation that can be written on the standard form In earlier chapters we've shown you how to solve quadratic equations by factoring.
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