# How do you find the discriminant and how many solutions does #x^2 + 2x – 2 = 0# have?

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To find the discriminant of a quadratic equation ( ax^2 + bx + c = 0 ), you use the formula ( b^2 - 4ac ). For the equation ( x^2 + 2x - 2 = 0 ), ( a = 1 ), ( b = 2 ), and ( c = -2 ). Substituting these values into the formula, you get ( 2^2 - 4(1)(-2) = 4 + 8 = 12 ). Since the discriminant is positive (12), the quadratic equation has two distinct real solutions.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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