vickychan2003twin
vickychan2003twin vickychan2003twin
  • 02-08-2021
  • Mathematics
contestada

6x2 - 7x - 5 =0

Let x = j and x = k be solutions to the equation above, with j > k. What is the value of j - k?

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sqdancefan
sqdancefan sqdancefan
  • 13-08-2021

9514 1404 393

Answer:

  j-k = 13/6

Step-by-step explanation:

The quadratic formula tells you the two solutions are ...

  x = (-b/(2a)) ±√(b² -4ac)/(2a)

The difference between these solutions is ...

  j-k = √(b² -4ac)/a

  j-k = √((-7)² -4(6)(-5))/6 = √(49 +120)/6 = √169/6

  j-k = 13/6

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