solve x^2-10x+21=0 — step-by-step solution

Let's solve in

ℝ

x^{2} - 10 x + 21 = 0

You can rephrase the expression into:

{(x - 5)}^{2} - 4

This expression can be factorized into:

((x - 5) - 2) \cdot ((x - 5) + 2)

Let's solve in

ℝ

((x - 5) - 2) \cdot ((x - 5) + 2) = 0

(x - 7) \cdot (x - 3)

Let's solve in

ℝ

x - 7 = 0

Solution obtained:

x = 7

Let's solve in

ℝ

x - 3 = 0

Solution found:

x = 3

▷Result: $x = {3, 7}$