Order the steps for solving this equation using the quadratic formula . 4x ^ 2 - 11x - 3 = 0 FIRST STEP First Step: Identify a 4, b = - 11 , c = - 3; x = (11 plus/minus sqrt((- 11) ^ 2 - 4(4)(- 3)))/(2(4)); x = (11 plus/minus sqrt(169))/8; x = 24/8 and dot x = -2 8; x = (11 plus/minus 13)/8; x = (11 + 13)/8 and x = (11 - 13)/8; x = (11 plus/minus sqrt(121 + 48))/8; x = 3 and x = - 1/4
1. Identify a = 4, b = -11, c = -3.
2. Plug the values into the quadratic formula: x = (-b ± √(b^2 - 4ac))/(2a).
3. Simplify: x = (11 ± √((-11)^2 - 4(4)(-3)))/(2(4)).
4. Continue simplifying: x = (11 ± √169)/8.
5. Simplify further: x = (11 ± 13)/8.
6. Separate into two equations: x = (11 + 13)/8 and x = (11 - 13)/8.
7. Simplify: x = 24/8 and x = -2/8.
8. Continue simplifying: x = 3 and x = -1/4.