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  • 22-05-2020
  • Mathematics
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The discriminant of the equation x2 + x - 30 = 0 is?

The solution(s) of the equation x +x-30 = 0 is/are?

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sqdancefan
sqdancefan sqdancefan
  • 22-05-2020

Answer:

  • discriminant: 11
  • solutions: -6, +5

Step-by-step explanation:

Comparing your equation to the standard form, we can find the values necessary to compute the discriminant:

  x^2 +x -30 = 0

  ax^2 +bx +c = 0

So, we have ... a = 1, b = 1, c = -30

The discriminant is defined as ...

  d = √(b² -4ac) = √(1² -4(1)(-30)) = √121

  d = 11

The solutions are ...

  x = (-b ± d)/(2a) = (-1 ±11)/2

  x = {-6, +5}

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