mauriviosamchez23 mauriviosamchez23
  • 15-10-2019
  • Mathematics
contestada

solve each equation by completing the square
r² = –12r - 35​

Respuesta :

jimrgrant1 jimrgrant1
  • 15-10-2019

Answer:

r = - 7, r = - 5

Step-by-step explanation:

Given

r² = - 12r - 35 ( add 12r to both sides )

r² + 12r = - 35

To complete the square

add ( half the coefficient of the r- term )² to both sides

r² + 2(6)r + 36 = - 35 + 36

(r + 6)² = 1 ← take the square root of both sides )

r + 6 = ± 1 ( subtract 6 from both sides )

r = - 6 ± 1, thus

r = - 6 - 1 = - 7 or r = - 6 + 1 = - 5

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