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yawa3891 [41]
3 years ago
10

Solve this quadratic equation.

d="TexFormula1" title="2x {}^{2} - 5x + 2 = 0" alt="2x {}^{2} - 5x + 2 = 0" align="absmiddle" class="latex-formula">
​

Mathematics
1 answer:
wariber [46]3 years ago
4 0

Answer:

  x = 1/2 or 2

Step-by-step explanation:

You can factor this as ...

  2x^2 -4x -x +2 = 0 . . . rewrite the middle term to enable factoring

  2x(x -2) -1(x -2) = 0 . . . . factor by grouping

  (2x -1)(x -2) = 0 . . . . factor out (x -2)

  x = 1/2, 2 . . . . . . values of x that make the factors zero

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First, we need to think about what we're actually solving for: the area of the path. To find this, we can find the area of the whole thing, minus the area of the pool.

The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:

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