Solving Quadratic Equations By: Jessica Campos. Solving Quadratic Equations by Graphing F(x)= x 2...
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Transcript of Solving Quadratic Equations By: Jessica Campos. Solving Quadratic Equations by Graphing F(x)= x 2...
![Page 1: Solving Quadratic Equations By: Jessica Campos. Solving Quadratic Equations by Graphing F(x)= x 2 -8x+15=0 X=(x-3)(x-5) X=3 and 5 Steps to put into a.](https://reader035.fdocuments.in/reader035/viewer/2022062519/5697c02e1a28abf838cda111/html5/thumbnails/1.jpg)
Solving Quadratic Equations
By: Jessica Campos
![Page 2: Solving Quadratic Equations By: Jessica Campos. Solving Quadratic Equations by Graphing F(x)= x 2 -8x+15=0 X=(x-3)(x-5) X=3 and 5 Steps to put into a.](https://reader035.fdocuments.in/reader035/viewer/2022062519/5697c02e1a28abf838cda111/html5/thumbnails/2.jpg)
Solving Quadratic Equations by Graphing
F(x)= x2-8x+15=0 X=(x-3)(x-5) X=3 and 5
Steps to put into a graph:◦ Enter equations into "Y =" area. (Be sure the PLOTS at the top of window
are turned off.) When the = sign is highlighted, the graph will be displayed.
◦ Choose the viewing window.◦ Hit GRAPH to see your graphs. If you need to find the roots of the
equation (the x-intercepts) you may choose #2 ZERO from the CALCULATE menu under CALC (above the TRACE key).
◦ If you need to see values relating to the graph, go to the TABLE (2nd GRAPH). You can control what you see in the table by going to TBLSET (2nd WINDOW).
![Page 3: Solving Quadratic Equations By: Jessica Campos. Solving Quadratic Equations by Graphing F(x)= x 2 -8x+15=0 X=(x-3)(x-5) X=3 and 5 Steps to put into a.](https://reader035.fdocuments.in/reader035/viewer/2022062519/5697c02e1a28abf838cda111/html5/thumbnails/3.jpg)
Solving Quadratic Equations byFactoring
o You must always have a zero product property. a=0 or b=0
• x2+21=10x• x2-10x+21=0• Factor: (x-7)(x-3)=0• x-7=0 and x-3=0• x=7 and x=3
![Page 4: Solving Quadratic Equations By: Jessica Campos. Solving Quadratic Equations by Graphing F(x)= x 2 -8x+15=0 X=(x-3)(x-5) X=3 and 5 Steps to put into a.](https://reader035.fdocuments.in/reader035/viewer/2022062519/5697c02e1a28abf838cda111/html5/thumbnails/4.jpg)
1.) x2+4x-21=02.)x2+4x=213.)4/2=2 22=44.)(x+2)2=255.)√(x+2)2=√256.)x+2= +or- 25X= -27 X=23
![Page 5: Solving Quadratic Equations By: Jessica Campos. Solving Quadratic Equations by Graphing F(x)= x 2 -8x+15=0 X=(x-3)(x-5) X=3 and 5 Steps to put into a.](https://reader035.fdocuments.in/reader035/viewer/2022062519/5697c02e1a28abf838cda111/html5/thumbnails/5.jpg)
Solving Quadratic Equations by using the Quadratic Formula
General Formula: x=-b+or-√b2-4ac
2(a)
2x2+12x-174=0122-4(2)(-174)= 1536x=-12+or-√1536
2(2)
X= 6.79 and X=-12.79
![Page 6: Solving Quadratic Equations By: Jessica Campos. Solving Quadratic Equations by Graphing F(x)= x 2 -8x+15=0 X=(x-3)(x-5) X=3 and 5 Steps to put into a.](https://reader035.fdocuments.in/reader035/viewer/2022062519/5697c02e1a28abf838cda111/html5/thumbnails/6.jpg)
Which way is best?? I personally feel like the best way to solve
quadratic equations are by using the quadratic formula which is: x=-b+or-√b2-4ac
2(a) Keep in mind that using completeing the
formula is the only other method that will always give you a final correct answer while graphing and factoring may not always do so.