the steps for solving this equation using the quadratic formula . x ^ 2 + 3x - 4 = 0
First Step : Identify a = 1 , b=3.c=-4
x = (- 3 + 5)/2 and x = (- 3 - 5)/2
x = (- 3 plus/minus sqrt(9 + 16))/2
x = (- 3 plus/minus sqrt(25))/2
x = (- 3 plus/minus sqrt((3) ^ 2 - 4(1)(- 4)))/(2(1))
x = 1 and x = - 4
x = (- 3 plus/minus 5)/2
x = 2/2 and x = - 8/2
The correct steps for solving the equation x^2 + 3x - 4 = 0 using the quadratic formula are:
1. Identify the values of a, b, and c:
a = 1
b = 3
c = -4
2. Plug these values into the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
3. Substitute the values of a, b, and c into the quadratic formula:
x = (-3 ± sqrt(3^2 - 4(1)(-4))) / (2(1))
4. Simplify the equation:
x = (-3 ± sqrt(9 + 16)) / (2)
5. Further simplify the equation:
x = (-3 ± sqrt(25)) / (2)
6. Take the square root of 25:
x = (-3 ± 5) / 2
7. Simplify the equation further:
x = (-3 + 5) / 2 or x = (-3 - 5) / 2
8. Calculate the solutions:
x = 2 / 2 or x = -8 / 2
9. Simplify the solutions:
x = 1 or x = -4