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
What order is correct
The correct order is as follows:
1. Identify a = 4, b = -11, c = -3.
2. Substitute the values into the quadratic formula: x = (-b ± sqrt(b^2 - 4ac)) / (2a).
3. Simplify the equation: x = (11 ± sqrt((-11)^2 - 4(4)(-3))) / (2(4)).
4. Calculate the square root: x = (11 ± sqrt(169)) / 8.
5. Simplify the square root: x = (11 ± 13) / 8.
6. Split the equation into two separate solutions: x = (11 + 13) / 8 and x = (11 - 13) / 8.
7. Simplify each equation separately: x = 24/8 and x = -2/8.
8. Simplify the fractions: x = 3 and x = -1/4.
So, the correct order is: 1, 2, 3, 4, 5, 6, 7, 8.