SOLUTION: For what values of m is the equation (E)quadratic? (E)=(m2-1)x2 -(m+3)x+4-m2=0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: For what values of m is the equation (E)quadratic? (E)=(m2-1)x2 -(m+3)x+4-m2=0      Log On


   

Question 1197455: For what values of m is the equation (E)quadratic?
(E)=(m2-1)x2
-(m+3)x+4-m2=0
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The common practice is to use "^" (shift-6) when typing an exponent.

I believe your equation is this:

(m^2-1)x^2 - (m+3)x + (4-m^2) = %28m%5E2-1%29x%5E2+-+%28m%2B3%29x+%2B+%284-m%5E2%29

The equation is quadratic whenever the coefficient of the x^2 term, m^2-1, is non-zero.

m^2-1 is equal to 0 only when x=1 and when x=-1; so the equation is quadratic for all values of x EXCEPT 1 and -1.

ANSWER: all x except 1 and -1