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Find a Quadratic Equation with the Roots Of r1=12 and r2=1+2r _ { 1 } = 1 - \sqrt { 2 } \text { and } r _ { 2 } = 1 + \sqrt { 2 }

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Find a quadratic equation with the roots of r1=12 and r2=1+2r _ { 1 } = 1 - \sqrt { 2 } \text { and } r _ { 2 } = 1 + \sqrt { 2 } . Write the answer in the form ax2+bx+c=0a x ^ { 2 } + b x + c = 0 where a, b, and c are integers and a=1a = 1 .


A) x 2 + 4x + 1 = 0
B) x 2 - x-1 = 0
C) x 2 - 2x-1 = 0
D) x 2 + x-2 = 0
E) x 2 + 2x -1 = 0

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