X^2-4x+3=0 solutions

larger and smaller solutions

x = 3 or x = 1

Step-by-step explanation:

Solve for x over the real numbers:

x^2 - 4 x + 3 = 0

Subtract 3 from both sides:

x^2 - 4 x = - 3

Add 4 to both sides:

x^2 - 4 x + 4 = 1

Write the left hand side as a square:

(x - 2) ^2 = 1

Take the square root of both sides:

x - 2 = 1 or x - 2 = - 1

Add 2 to both sides:

x = 3 or x - 2 = - 1

Add 2 to both sides:

Answer: x = 3 or x = 1