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QuizMultiple Choice

Solving Quadratic Equations: Quadratic Formula — Quiz

Question 1 • Algebra: Concepts and Connections

What is the positive solution to the equation 0 is equal to negative x squared plus 2 x plus 1 ? Quadratic formula: x is equal to the fraction with numerator negative b plus or minus square root of b squared minus 4 A c end root and denominator 2 A

Answer
A
1 plus square root of 2
B
2 minus square root of 2
C
negative 2 plus square root of 2
D
negative 1 plus square root of 2

Explanation

Rewrite the equation as x² − 2x − 1 = 0 by multiplying both sides by −1. Using the quadratic formula gives x = (2 ± √(4 + 4))/2 = 1 ± √2. Since √2 is greater than 1, 1 − √2 is negative, so the positive solution is 1 + √2, choice C.

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