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Thepotemich [5.8K]
3 years ago
8

What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus St

artRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
Mathematics
1 answer:
katrin [286]3 years ago
7 0

Answer:

x = 2 + √2

x = 2 - √2

Step-by-step explanation:

- x² + 2x + 1 = 0

x² - 2x - 1 = 0

Here,

a = <em>1</em>

b = <em>- 2</em>

c = <em>- 1</em>

Now,

Discriminant

D = b² - 4ac

= (-2)² - 4(1)(-1)

= 4 + 4

= 8

=2√2 > 0

<em><u>Real and </u></em><em><u>D</u></em><em><u>istinct roots </u></em>

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

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