Answer:
(- 1, 0 ) and (3, 0 )
Step-by-step explanation:
Given
3 + 2x - x² = 0 ( multiply through by - 1 and rearrange )
x² - 2x - 3 = 0
Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)
The factors are - 3 and + 1 , since
- 3 × 1 = - 3 and - 3 + 1 = - 2, then
(x + 1)(x - 3) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 3 = 0 ⇒ x = 3
The coordinates of the roots are (- 1, 0 ) and (3, 0 )
