Answers:
- discriminant = d
- number of roots = e
- solutions = g
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Step-by-step explanation:
Let's compute the discriminant. Here we have a = 1, b = 1, c = -2
d = b^2 - 4ac
d = 1^2 - 4(1)(-2)
d = 9
The fact that d > 0 tells us we have two different real number solutions.
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We can use the quadratic formula to solve, or we can factor. I'll use the factor method.
x^2 + x - 2 = 0
(x - 1)(x + 2) = 0
x-1 = 0 or x+2 = 0
x = 1 or x = -2
The two solutions are -2 and 1