SOLUTION: A mountain has an elevation that is expressed as a quadratic trinomial (4x^2-44x+52) meters. If the elevation of the mountain is 2956 meters, what are the possible values of x that

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A mountain has an elevation that is expressed as a quadratic trinomial (4x^2-44x+52) meters. If the elevation of the mountain is 2956 meters, what are the possible values of x that      Log On


   

Question 1085978: A mountain has an elevation that is expressed as a quadratic trinomial (4x^2-44x+52) meters. If the elevation of the mountain is 2956 meters, what are the possible values of x that will make the expression be equal?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%284x%5E2-44x%2B52%29 meters
If the elevation of the mountain is 2956 meters, we have
4x%5E2-44x%2B52=2956....both sides divide by 4
x%5E2-11x%2B13=739
x%5E2-11x%2B13-739=0
x%5E2-11x-726=0....factor
x%5E2%2B22x-33x-726=0
%28x%5E2%2B22x%29-%2833x%2B726%29=0
x%28x%2B22%29-33%28x%2B22%29=0
%28x+-+33%29+%28x+%2B+22%29+=+0
solutions:
if %28x+-+33%29++=+0=>x=33
if +%28x+%2B+22%29+=+0=>x=-22