Question

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

Answer 1

see explanation

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) ±
`√((-5)^2-(4(1)(4))` ) / 2

= ( 5 ±
`√(9)` ) / 2

= ( 5 ± 3 ) / 2

x =
`(5-3)/(2)` or x =
`(5+3)/(2)`, hence

x = 1 or x = 4

The solutions are real, rational and distinct