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Part A: What is the solution to the equation 0 = 6x² + 48x + 120?​

Sagot :

9514 1404 393

Answer:

  x = -4 ±2i

Step-by-step explanation:

It is convenient to divide by 6 first:

  0 = x² +8x +20

  0 = x² +8x +16 +4 = (x +4)² +4 . . . . put in vertex form

  (x +4)² = -4 . . . . . . . . . subtract 4

  x +4 = ±√-4 = ±2i  . . . take the square root

  x = -4 ±2i . . . . . . . . . . subtract 4