Question

Solve the equation showing all work.

X²-4x+3=0

Answer 1

x = 1, x = 3

Explanation:

x² - 4x + 3 = 0

consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term (- 4)

the factors are - 1 and - 3 , since

- 1 × - 3 = + 3 and - 1 - 3 = - 4 , then

(x - 1)(x - 3) = 0 ← in factored form

equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

Answer 2

x2−4x+3=0

For this equation: a=1, b=-4, c=3

1x2+−4x+3=0

Step 1: Use quadratic formula with a=1, b=-4, c=3.

x=

−b±√b2−4ac

2a

x=

−(−4)±√(−4)2−4(1)(3)

2(1)

x=

4±√4

2

x=3 or x=1