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UKMT Senior Mathematical Challenge, 2022

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

What is the value of xx in the equation 1+2x+3x23+2x+x2=3\dfrac{1+2x+3x^2}{3+2x+x^2}=3?

(A) −5-5 (B) −4-4 (C) −3-3 (D) −2-2 (E) −1-1

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