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How do you write a rational equation given only the solutions?
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An equation can be written given the solutions of the equation in the following way. Assume an equation f(x) = 0 has the roots x1 and x2.
The corresponding equation would be (x - x1)(x - x2) = 0
=> x^2 - (x1 + x2)*x + x1*x2 = 0
For a higher order equation with solutions x1, x2, x3..., the corresponding equation is (x - x1)(x - x2)(x - x3)... = 0. This can be simplified to give an equation in the standard form.
The same is applicable for the creation of an equation of any order.
Posted by justaguide on October 13, 2012 at 5:43 PM (Answer #1)
Valedictorian, Super Tutor, Tutor
I don't know what might be meant by "rational equation." but x1 and x2 might also be the solutions to
|x -a| = b, or
(x - a)^2 + (y - b)^2 = k
Posted by etotheeyepi on October 13, 2012 at 7:52 PM (Answer #2)
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