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Problem #PRU-60855

Problems Algebra Polynomials Quadratic polynomials Quadratic equations. Formula for the roots. Quadratic equations. Vieta's rule. Calculus Real numbers Rational and irrational numbers

One of the roots of the equation $x^{2} + a x + b = 0$ is $1 + \sqrt{3}$ . Find $a$ and $b$ if you know that they are rational.