Answer
The equation 3x^2 Р8x + 5 = 5x^2 can be rearranged into the quadratic form 2x^2 Р8x + 5, leading to a discriminant greater than zero, which confirms the existence of two distinct real roots. To analyze it, we rewrite the equation to standard form ax^2 + bx + c, where a=2, b=-8, and c=5. The discriminant is calculated using Δ = b^2 Р4ac, resulting in Δ = (-8)^2 Р4 * 2 * 5, which simplifies to 64 Р40, giving us 24. Thus, as the discriminant is positive, we conclude that there are two distinct real roots present.
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