Question

solve x=2-x^2 if there are more than one answers please list them

Answer 1

Answer:

x = - 2, x = 1

Step-by-step explanation:

Given

x = 2 - x² ( subtract 2 - x² from both sides )

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1