Problem

$x^{2}-5 x-6=0$

Answer

Expert–verified
Hide Steps
Answer

\(\boxed{x = 6.0, x = -1.0}\)

Steps

Step 1 :Given the quadratic equation: \(x^2 - 5x - 6 = 0\)

Step 2 :Using the quadratic formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

Step 3 :Substitute the coefficients: a = 1, b = -5, c = -6

Step 4 :Calculate the discriminant: \(\Delta = b^2 - 4ac = 49\)

Step 5 :Find the solutions: \(x_1 = \frac{-(-5) + \sqrt{49}}{2(1)} = 6.0\) and \(x_2 = \frac{-(-5) - \sqrt{49}}{2(1)} = -1.0\)

Step 6 :\(\boxed{x = 6.0, x = -1.0}\)

link_gpt