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

question 1

Multiple Choice

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

• 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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