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shivanshi asthana Grade: 11
        

if


 


(ax2+bx+c)y+a'x2+b'x+c'=0.........find the condition that x may be a rational functional of y......

7 years ago

Answers : (1)

Ramesh V
70 Points
										

Rational function is defined in similar fashion as rational number is defined in terms of numerator and denominator. Implicitly, we refer “real” rational function here. It is defined as the ratio of two real polynomials with the condition that polynomial in the denominator is not a zero polynomial.



                                    f(x) = p(x)/q(x) for q(x) not equal to 0



Rational function is not defined for values of x for which denominator polynomial evaluates to zero as ratio “p(x)/0” is not defined


here y = -(a'x2+b'x+c)/(ax2+bx+c) is rational if


ax2+bx+c not equal to 0


implies x not equal to -b/2a + (b2-4ac)1/2 / 2a   and  -b/2a - (b2-4ac)1/2 / 2a


--


regards


Ramesh



7 years ago
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