A Radical Equation

Algebra Level 2

Find the real solution of x.


The answer is 5.

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1 solution

Peter Yang
Apr 30, 2014

By rearranging terms, you should get 0 = x^3 - 7x^2 + 19x -45 Next you factor to get 0 = (x-5) * (x^2 - 2x +9) Obviously x=5 is a real root. By the quadratic equation of the second factor, the roots of the quadratic equation are complex.

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