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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

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  1. DanJS
    • one year ago
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    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
    • one year ago
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    or you can graph the parabola, and show where it crosses the x axis

  3. DanJS
    • one year ago
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    ax^2+bx+c = 0

  4. DanJS
    • one year ago
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    7) goes to x^2 -11x +22 =0 ,

  5. anonymous
    • one year ago
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    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
    • one year ago
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    graph that parabola y = f(x) and show the x values where y = f(x) = 0

  7. DanJS
    • one year ago
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    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
    • one year ago
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    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
    • one year ago
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    okay i graphed 7 thank you!

  10. anonymous
    • one year ago
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    so how would i do numbers 8 and 9 now? im just confused on how to rearrange them like you did

  11. DanJS
    • one year ago
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    show where x^4 - x + 1 crosses the x axis

  12. DanJS
    • one year ago
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    y = x^4 - x + 1 if it even does

  13. triciaal
    • one year ago
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    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
    • one year ago
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    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
    • one year ago
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    the point to know the general shape of each of those degrees

  16. anonymous
    • one year ago
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    okay i graphed number 8 its correct thank you

  17. DanJS
    • one year ago
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    no solution

  18. anonymous
    • one year ago
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    what would number 7 be?

  19. triciaal
    • one year ago
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    |dw:1443159176123:dw|

  20. anonymous
    • one year ago
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    okay perfect mine looks like that too

  21. anonymous
    • one year ago
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    but number 8 was no solution so what would be 7?

  22. triciaal
    • one year ago
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    |dw:1443159283029:dw|

  23. DanJS
    • one year ago
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    graph x^2 - 11x + 22

  24. DanJS
    • one year ago
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    see where it crosses the x axis, might need the quadratic formula for a specific values

  25. anonymous
    • one year ago
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    okay got it thank you! would that mean complex solution

  26. triciaal
    • one year ago
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    |dw:1443159406311:dw|

  27. triciaal
    • one year ago
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    |dw:1443159578443:dw|

  28. anonymous
    • one year ago
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    what would number 9 be?

  29. anonymous
    • one year ago
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    i just need the equation so i can graph it and to determine the number of solutions for 7 8 and 9

  30. triciaal
    • one year ago
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    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
    • one year ago
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    okay thank you so much

  32. Jaynator495
    • one year ago
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