Order the steps for solving this equation using the quadratic formula
4x^2 - 11x - 3 = 0
First Step: Identify a = 4; b = - 11 , c = - 3
x = (11 plus/minus sqrt(169))/8
x = 24/8 and x = - 2/8
x = (11 plus/minus sqrt((- 11) ^ 2 - 4(4)
(- 3)))/(2(4))
x = (11 + 13)/8 and x = (11 - 13)/8 x = (11 plus/minus 13)/8
x = (11 plus/minus sqrt(121 + 48))/8
x = 3 and x = - 1/4
The correct order of steps for solving the equation using the quadratic formula is:
1. Identify the values of a, b, and c in the quadratic equation.
2. Plug the values of a, b, and c into the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)
3. Simplify the expression under the square root: √(b^2 - 4ac)
4. Calculate the two possible solutions for x by plugging the simplified expression into the quadratic formula.
5. Simplify and evaluate the two possible solutions for x.