## anonymous one year ago PLEASE HELP Find the number of real solutions to the functions below by graphing. 7) x + 3 = (x – 5)^2 8) x4 = x – 1 9) x3 = 5 – x

1. DanJS

the first one you can maybe think of it as intersection points for the line x + 3 and the parabola (x-5)^2

2. DanJS

or you can graph the parabola, and show where it crosses the x axis

3. DanJS

ax^2+bx+c = 0

4. DanJS

7) goes to x^2 -11x +22 =0 ,

5. anonymous

im allowed on use the sight https://www.desmos.com/calculator to graph it will you help me so i know what to type in each box im sorry im horrible at math lol

6. DanJS

graph that parabola y = f(x) and show the x values where y = f(x) = 0

7. DanJS

k, for 7) graph y=x^2-11x+22 show the x values when y is zero (x-axis) those are the solutions

8. DanJS

OR Graph y=x+3 and y = (x-5)^2 and they should cross two times and have intersection points, the x values are the solutions

9. anonymous

okay i graphed 7 thank you!

10. anonymous

so how would i do numbers 8 and 9 now? im just confused on how to rearrange them like you did

11. DanJS

show where x^4 - x + 1 crosses the x axis

12. DanJS

y = x^4 - x + 1 if it even does

13. triciaal

another approach do a table with x values (common -3 to 3) calculate the corresponding y value plot the points "see" the intersection

14. DanJS

i think that is what they want, as @triciaal says,, just show how many times y = f(x) froses the x axis, number of roots, just "see" it

15. DanJS

the point to know the general shape of each of those degrees

16. anonymous

okay i graphed number 8 its correct thank you

17. DanJS

no solution

18. anonymous

what would number 7 be?

19. triciaal

|dw:1443159176123:dw|

20. anonymous

okay perfect mine looks like that too

21. anonymous

but number 8 was no solution so what would be 7?

22. triciaal

|dw:1443159283029:dw|

23. DanJS

graph x^2 - 11x + 22

24. DanJS

see where it crosses the x axis, might need the quadratic formula for a specific values

25. anonymous

okay got it thank you! would that mean complex solution

26. triciaal

|dw:1443159406311:dw|

27. triciaal

|dw:1443159578443:dw|

28. anonymous

what would number 9 be?

29. anonymous

i just need the equation so i can graph it and to determine the number of solutions for 7 8 and 9

30. triciaal

for each of the above equations you have the y's equal to graph "split" into the 2 y's and graph for example, number 9 given x^3 = 5 - x means graph 1 y = x^3 and graph 2 y = 5- x when they intersect means the x values that satisfies both equations with that y value

31. anonymous

okay thank you so much

32. Jaynator495

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