Find all values of x such that x^2 - 5x + 6 = 0. If you find more than one value, then list your solutions in increasing order, separated by commas.

Guest Dec 29, 2020

#1**+1 **

Best Answer

x^{2} -5x + 6 = 0 Factor

(x-3)(x-2) = 0 at least one of these factors must = 0

x-3 = 0

x = 3 or x-2 = 0

x = 2

You can also use the Quadratic Formula to solve this

a =1 b = -5 c = 6

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

\(x = {-(-5) \pm \sqrt{(-5)^2-4(1)(6)} \over 2(1)}\)

Guest Dec 29, 2020