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for the equation 3x^2 + 5x + 8 = 0, what is the value of the discriminant and how many real solutions are there

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Answered by GPT-5 mini AI
For 3x^2 + 5x + 8 = 0, a = 3, b = 5, c = 8.
Discriminant Δ = b^2 − 4ac = 5^2 − 4·3·8 = 25 − 96 = −71.

Since Δ < 0, there are no real solutions (there are two nonreal complex conjugate solutions).