Question

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
What do these go in

Answer 1

1. First Step: Identify a, b, and c from the equation. In this case, a = 4, b = -11, and c = -3.
2. Use the quadratic formula: x = (-b ± √(b^2-4ac))/(2a).
3. Plug in the values of a, b, and c into the quadratic formula: x = (-(-11) ± √((-11)^2 - 4(4)(-3)))/(2(4)).
4. Simplify the equation: x = (11 ± √(121 + 48))/(8).
5. Simplify the equation in the square root: x = (11 ± √169)/(8).
6. Evaluate the square root: x = (11 ± 13)/(8).
7. Simplify further: x = (11 + 13)/(8) and x = (11 - 13)/(8).
8. Simplify the fractions: x = 24/8 and x = -2/8.
9. Simplify the fractions further: x = 3 and x = -1/4.

So, the correct order of steps is:
1. Identify the values of a, b, and c.
2. Use the quadratic formula to get the equation in the form of x = (-b ± √(b^2-4ac))/(2a).
3. Plug in the values of a, b, and c into the quadratic formula.
4. Simplify the equation.
5. Evaluate the square root.
6. Simplify the fractions, if necessary.