Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Use the quadratic formula to solve the equation x^2 -4x -3=0

Answer 1

To solve the equation x^2 -4x -3=0 using the quadratic formula, we first identify the coefficients of the equation: a = 1, b = -4, and c = -3.

The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac))/(2a)

Substituting the values of a, b, and c into the formula, we have:

x = (-(-4) ± √((-4)^2 - 4(1)(-3)))/(2(1))
x = (4 ± √(16 + 12))/(2)
x = (4 ± √28)/2
x = (4 ± 2√7)/2

Now we simplify the expression:

x = 2 ± √7

So the solutions to the equation x^2 -4x -3=0 are x = 2 + √7 and x = 2 - √7.