minecraftknowsall
minecraftknowsall minecraftknowsall
  • 02-10-2019
  • Mathematics
contestada

F(x)=1/2x^2-4x+7 please show steps!

Respuesta :

zrh2sfo
zrh2sfo zrh2sfo
  • 04-10-2019

Answer:

x = 4 + sqrt(2) or x = 4 - sqrt(2)

Step-by-step explanation by completing the square:

Solve for x:

x^2/2 - 4 x + 7 = 0

Multiply both sides by 2:

x^2 - 8 x + 14 = 0

Subtract 14 from both sides:

x^2 - 8 x = -14

Add 16 to both sides:

x^2 - 8 x + 16 = 2

Write the left hand side as a square:

(x - 4)^2 = 2

Take the square root of both sides:

x - 4 = sqrt(2) or x - 4 = -sqrt(2)

Add 4 to both sides:

x = 4 + sqrt(2) or x - 4 = -sqrt(2)

Add 4 to both sides:

Answer:  x = 4 + sqrt(2) or x = 4 - sqrt(2)

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