Question

Use the quadratic formula to solve x^2 -5x+4 then describe the solution

Answer 1

Answer:

see explanation

Step-by-step explanation:

Equate the quadratic to zero

x² - 5x + 4 = 0 ← in standard form

with a = 1, b = - 5, c = 4

Using the quadratic formula to solve for x

x = ( -(- 5) ± $\sqrt{(-5)^2-(4(1)(4)}$ ) / 2

  = ( 5 ± $\sqrt{9}$ ) / 2

  = ( 5 ± 3 ) / 2

  x = $\frac{5-3}{2}$ or x = $\frac{5+3}{2}$, hence

x = 1 or x = 4

The solutions are real, rational and distinct