What is the positive solution to the equation 0=−x2+2⁢x+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

For −x² + 2x + 1 = 0, the coefficients are a = −1, b = 2, and c = 1. The quadratic formula gives x = (−2 ± √(4 − 4(−1)(1)))/(−2), so the roots are 1 ± √2. Since √2 is greater than 1, 1 + √2 is positive, while 1 − √2 is negative; the positive solution is “1 plus square root of 2.”

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