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What are the coordinates of the roots of the equation 3 + 2x-x^2 = 0

Sagot :

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 )

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