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Use the quadratic formula to solve the equation.
x2 – 7x – 6 = 0
To solve the equation x^2 - 7x - 6 = 0 using the quadratic formula, we first identify the values of a, b, and c in the general quadratic equation ax^2 + bx + c = 0.
In this case:
a = 1
b = -7
c = -6
Next, we substitute these values into the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a
Plugging in the values:
x = (7 ± √((-7)^2 - 4*1*(-6))) / 2*1
x = (7 ± √(49 + 24)) / 2
x = (7 ± √73) / 2
Therefore, the solutions to the equation x^2 - 7x - 6 = 0 are:
x = (7 + √73) / 2
x = (7 - √73) / 2