Destinysills5519 Destinysills5519
  • 20-02-2020
  • Mathematics
contestada

Determine which equation has the same solutions as the given equation. 2x2 − 12x − 50 = 0 A. (x − 3)2 = 34 B. (x − 6)2 = 19 C. (x − 6)2 = 31 D. (x − 3)2 = 16

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ukshedrack
ukshedrack ukshedrack
  • 20-02-2020

Answer:

Option A

Step-by-step explanation:

[tex]2x^{2}-12x-50=0\\ \\2x^{2}-12x = 50\\[/tex]

Divide through by 2

[tex]x^{2} - 6x = 25[/tex]

[tex]But, x^{2} - 6x = (x-3)^{2} - 9\\ \\So, x^{2} - 6x = 25[/tex]

Now becomes,

[tex](x-3)^{2} -9=25\\\\(x-3)^{2}=25+9=34\\\\(x-3)^{2}=34[/tex]

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petadrea
petadrea petadrea
  • 28-03-2022

Answer:

hope this helps

Step-by-step explanation:

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