elliecummard
elliecummard elliecummard
  • 07-12-2020
  • Mathematics
contestada

Complete the square to solve the equation below.
x² + 2x-7= 17
A. x = -1, x = 4
O B. X=-6, x = 4
O C. X=-1, x = 3
O D. x = 5, x= -4
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sqdancefan
sqdancefan sqdancefan
  • 07-12-2020

9514 1404 393

Answer:

  B.  x = -6, x = 4

Step-by-step explanation:

The constant on the left wants to be 1, the square of half the x-coefficient. We can get it to be that value by adding 8 to the equation.

  x² +2x +1 = 25

  (x +1)² = 25 . . . . . . . rewrite the left side as a square

  x +1 = ±√25 = ±5 . . . . take the square root

  x = -1 ±5 . . . . . . . . . subtract 1

  x = -6 or x = 4

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