For the following equation, state the value of the discriminant and then describe the nature of the solutions.?
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-10x^2+4x-14=0 What is the value of the discriminant? Which one of the statements below is correct? A. The equation has two imaginary solutions. B. The equation has two real solutions. C. The equation has one real solution.
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Answer:
a = -10 b = 4 c = -14 The discriminant is b^2 - 4ac. I'll assume you can operate a calculator and can plug those numbers into that formula. If the discriminant is > 0, the equation has two real solutions. If the discriminant = 0, the equation has one real solutions. If the discriminant < 0, the equation has no real solutions. They are complex. But not necessarily pure imaginary.
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