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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.
a = 1 (coefficient of x^2 term)
b = -7 (coefficient of x term)
c = -6 (constant term)
Next, we substitute these values into the quadratic formula:
x = (-b ± √(b^2 - 4ac))/(2a)
x = (-(-7) ± √((-7)^2 - 4(1)(-6)))/(2(1))
Simplifying the equation,
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