carmannm
carmannm carmannm
  • 01-08-2019
  • Mathematics
contestada

What number must you add to complete the square x2+12x=40

Respuesta :

absor201
absor201 absor201
  • 01-08-2019

Answer:

36

Step-by-step explanation:

Find a value that is equal to the square of half of b, coefficient of x

(b/2)^2 = (12/2)^2

(6)^2

Add (6)^2 to both sides.

x^2+12x+(6)^2 =40 +(6)^2

x^2+12x+36=40+36

x^2+12x+36= 76

Factor the perfect trinomial square into (x+6)^2

(x+6)^2= 76

Thus 36 must be added to both sides to complete the square....

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