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What is the simplest equation that has roots 4 and 2?
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The term "simplest" in the question refers to finding an equation that only has 4 and 2 as its roots and there are no common factors in the coefficients of the terms of the equation. A quadratic equation has only 2 solutions.
If the roots are a and b, the quadratic equation is of the form x^2 - (a + b)*x + a*b = 0.
For roots 4 and 2, the simplest quadratic equation is x^2 - 6x + 8 = 0.
The required equation with roots 4 and 2 is x^2 - 6x + 8 = 0.
Posted by justaguide on March 4, 2013 at 6:43 AM (Answer #1)
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