Question 16 • FL-1200330-Algebra 2 CR
Put the equation in standard form by subtracting 5x² from both sides: −2x² − 8x + 5 = 0, or equivalently 2x² + 8x − 5 = 0. Here a = 2, b = 8, and c = −5, so the discriminant is b² − 4ac = 8² − 4(2)(−5) = 104. Since 104 is greater than 0, the equation has two real roots. The true statement is “The discriminant is greater than 0, so there are two real roots.”
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