jahjahjorgina
jahjahjorgina jahjahjorgina
  • 13-03-2018
  • Mathematics
contestada

Find the vertex of y = x2 + 14x − 40 by completing the square.

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pluggedchocolate
pluggedchocolate pluggedchocolate
  • 13-03-2018
 x = 10 x = 4 Two real solutions:

x =(14+√36)/2=7+3= 10.000 

or:

x =(14-√36)/2=7-3= 4.000 
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altafmushrafp5fo2o
altafmushrafp5fo2o altafmushrafp5fo2o
  • 13-03-2018
the turning point, vertex can be found by completing the squares
y=x^2 + 14x-40
y=(x+7)^2+7^2-40
y=(x+7)^2+9
the x coordinate is the the opposite of the number in the bracket, that is it's +7 in the bracket so it should be -7
and the y coordinate is the number outside the bracket that us +9

therefore the points are (-7,9)
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