chrisgaona03 chrisgaona03
  • 01-07-2020
  • Mathematics
contestada

what number must be added to the expression below to complete the square x^2+7x

Respuesta :

jimrgrant1 jimrgrant1
  • 01-07-2020

Answer:

[tex]\frac{49}{4}[/tex]

Step-by-step explanation:

Given

x² + 7x

To complete the square

add ( half the coefficient of the x- term )²

x² + 2( [tex]\frac{7}{2}[/tex] )x + ([tex]\frac{7}{2}[/tex] )²

= x² + 7x + [tex]\frac{49}{4}[/tex]

= (x + [tex]\frac{7}{2}[/tex] )² ← perfect square

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