Question 6 • Algebra II
Move all terms to one side: 3x² − 8x + 5 = 5x² becomes 2x² + 8x − 5 = 0. Its discriminant is b² − 4ac = 8² − 4(2)(−5) = 104, which is greater than 0. Therefore, the equation has two distinct real roots, so the true statement is “The discriminant is greater than 0, so there are two real roots.”
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