To solve the equation using the Quadratic Formula, we can rewrite the equation in the standard form ax^2 + bx + c = 0. In this case, a = 1, b = -5, and c = 4.
The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values, we get:
x = (-(-5) ± √((-5)^2 - 4(1)(4))) / (2(1))
x = (5 ± √(25 - 16)) / 2
x = (5 ± √9) / 2
Simplifying further:
x = (5 ± 3) / 2
Thus, the solutions to the equation x^2 - 5x + 4 = 0 using the Quadratic Formula are:
x = (5 + 3) / 2 = 8 / 2 = 4
x = (5 - 3) / 2 = 2 / 2 = 1
Solve the equation using the Quadratic Formula.
x^2-5x+4=0
1 answer