Solve for x in the equation x^2-4x-9=29? x=2 + / - squareroot 42 x=2+/-squareroot 33 x=2+/-squareroot 34 x=4+/-squareroot 42

For this case what we must do is to use the formula of the resolvent in the following way:

x = ( - b + / - root (b ^ 2 - 4 * a * c)) / (2 * a)

Where,

a = 1

b = - 4

c = - 38

Substituting the values:

x = ( - ( - 4) + / - root (( - 4) ^ 2 - 4 * 1 * ( - 38))) / (2 * 1)

x = (4 + / - root (168)) / 2

x = (2 + / - root (42))

Answer:

x = 2 + / - squareroot 42