starlitm00n17
starlitm00n17 starlitm00n17
  • 10-02-2020
  • Mathematics
contestada

35 = 1/2(x-5)(x-14) what does x equal?

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Hrishii
Hrishii Hrishii
  • 10-02-2020

Step-by-step explanation:

[tex]35 = \frac{1}{2} (x - 5)(x - 14) \\ \\ \therefore \: 35 \times 2 = {x}^{2} - 14x - 5x + 70 \\ \\ \therefore \: 70 = {x}^{2} - 19x + 70 \\ \\ \therefore \: {x}^{2} - 19x + 70 - 70 = 0\\ \\ \therefore \: {x}^{2} - 19x = 0 \\ \\ \therefore \: x({x} - 19) = 0\\ \\ \therefore \:x = 0 \: \: or \: x - 19 = 0 \\ \\ \therefore \:x = 0 \: \: or \: \: x = 19 \\ \\ \therefore \:x = \{0, \: \: 19 \}[/tex]

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