Question

Given that the value of A=5, B-1 and C=-5, Solve for the discriminant.

-99
-100
101
99

Answer 1

Answer: 101 (choice C)

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Work Shown:

`d = \text{discriminant}\\\\d = b^2 - 4ac\\\\d = (-1)^2 - 4(5)(-5)\\\\d = 1 + 100\\\\d = 101\\\\`

This points us to choice C as the final answer.

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Extra info:

• The discriminant is the stuff under the square root in the quadratic formula.
• Since d > 0, the equation
  `5\text{x}^2-\text{x}-5 = 0` will have two different real numbered solutions.
• Since d = 101 isn't a perfect square, the two real numbered solutions are irrational.