Explanation

Using the quadratic formula, we have x=−b±√(b² −4ac)/2a From the equation 3x²−4x−5 = 0, a = 3, b = -4 and c = -5. ∴x=−(−4)±√((−4)2−4(3)(−5))/2(3) = 4±√(16+60)/6 = 4±√(76)/6 = 4±8.72/6 = 4+8.72/6 or 4−8.72/6 = 12.72/6 or −4.72/6 x = 2.12 or -0.79

Using the quadratic formula, we have x=−b±√(b² −4ac)/2a From the equation 3x²−4x−5 = 0, a = 3, b = -4 and c = -5. ∴x=−(−4)±√((−4)2−4(3)(−5))/2(3) = 4±√(16+60)/6 = 4±√(76)/6 = 4±8.72/6 = 4+8.72/6 or 4−8.72/6 = 12.72/6 or −4.72/6 x = 2.12 or -0.79