What is the positive solution to the equation 0 = - x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction

x = 2 + √2

x = 2 - √2

Step-by-step explanation:

- x² + 2x + 1 = 0

x² - 2x - 1 = 0

Here,

a = 1

b = - 2

c = - 1

Now,

Discriminant

D = b² - 4ac

= (-2) ² - 4 (1) (-1)

= 4 + 4

= 8

=2√2 > 0

Real and Distinct roots

x = - b + - √b² - 4ac/2a

= - (-2) + - √ = (-2) ² - 4 (1) (-1) / 2 (1)

= 2 + - √4 + 4/2

= 2 + - √8/2

= 2 + - 2√2/2

= 2 + - √2

x = 2 + √2 or x = 2 - √2