6 x^{2}-5 x-6

Question

6 x^{2}-5 x-6

Accepted Answer

Step:1 ：Given the quadratic equation: (6x^2 - 5x - 6 = 0)Step:2 ：Using the quadratic formula: (x = frac{-b pm sqrt{b^2 - 4ac}}{2a}), where (a = 6), (b = -5), and (c = -6)Step:3 ：Calculate the discriminant: (Delta = b^2 - 4ac = (-5)^2 - 4(6)(-6) = 169)Step:4 ：Find the roots: (x_1 = frac{-(-5) + sqrt{169}}{2(6)} = 1.5) and (x_2 = frac{-(-5) - sqrt{169}}{2(6)} approx -0.67)Step:5 ：(boxed{x = 1.5, x approx -0.67})

Answer

Step: 1 ：Given the quadratic equation: (6x^2 - 5x - 6 = 0)Step: 2 ：Using the quadratic formula: (x = frac{-b pm sqrt{b^2 - 4ac}}{2a}), where (a = 6), (b = -5), and (c = -6)Step: 3 ：Calculate the discriminant: (Delta = b^2 - 4ac = (-5)^2 - 4(6)(-6) = 169)Step: 4 ：Find the roots: (x_1 = frac{-(-5) + sqrt{169}}{2(6)} = 1.5) and (x_2 = frac{-(-5) - sqrt{169}}{2(6)} approx -0.67)Step: 5 ：(boxed{x = 1.5, x approx -0.67})

$6 x^{2}-5 x-6$

Answer

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