Order the steps for solving this equation using the quadratic formula . x ^ 2 + 3x - 4 = 0 FIRST STEP First Step : Identify a = 1 , b = 3; c = - 4; x = (- 3 plus/minus sqrt(9 + 16))/2; x = (- 3 + 5)/2 and x = (- 3 - 5)/2; x = (- 3 plus/minus sqrt(25))/2; x = (- 3 plus/minus sqrt((3) ^ 2 - 4(1)(- 4)))/(2(1))
The correct order of steps for solving the equation x^2 + 3x - 4 = 0 using the quadratic formula is as follows:
1. Identify the values of a, b, and c in the equation: a = 1, b = 3, c = -4.
2. Substitute the values of a, b, and c into the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
3. Simplify the expression inside the square root:
(b^2 - 4ac) = (3^2 - 4(1)(-4)) = (9 + 16) = 25.
4. Take the square root of 25: √25 = 5.
5. Substitute the simplified values into the quadratic formula:
x = (-3 ± 5) / (2*1).
6. Simplify further:
x = (-3 + 5) / 2 and x = (-3 - 5) / 2.
7. Solve for x:
x = 2/2 = 1 and x = -8/2 = -4.
So the solutions to the equation x^2 + 3x - 4 = 0 are x = 1 and x = -4.