Question

I need 22 and 24 ( solve using a graph and tables )

Answer 1

Answer:

  22. x = 0.228 or 8.772

  24. x = -0.869 or 1.535

Step-by-step explanation:

The solutions are all irrational, so it would be tedious arriving at a solution using tables. I prefer a graphing calculator for this.

The first attachment shows the problems with graphs of left-side and right-side expressions. The points of intersection are the solutions.

The second attachment shows the difference of the two sides of the equation. The x-intercepts of that difference are the solutions. The graph also shows the vertex of the quadratic, which lets you write down the exact solution. For y = a(x -h)^2 +k, the solutions are x = h ±√(-k/a) where (h, k) is the vertex and 'a' is the leading coefficient of the quadratic.

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22. x = 0.228 or 8.772

  graphs in first attachment are red and orange

  graph in second attachment is black

  x = 4.5 ± √18.25

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24. x = -0.869 or 1.535

  graphs in first attachment are blue and purple

  graph in second attachment is red ('a' = 3)

  x = (1 ±√13)/3