Question

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Use the quadratic formula to solve the equation.

x2 – 7x – 6 = 0

Answer 1

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