Which of the statements about the following quadratic equation is true? 6x2 - 8 = 4x2 + 7x

Rewrite the equation in standard form by subtracting 4x² and 7x from both sides: 2x² − 7x − 8 = 0. Here a = 2, b = −7, and c = −8, so the discriminant is b² − 4ac = (−7)² − 4(2)(−8) = 113. Since 113 is greater than zero, the equation has two real roots, so the true statement is that the discriminant is greater than zero and there are two real roots.

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