SOLUTION: x-13(square root)X+40=0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: x-13(square root)X+40=0      Log On


   

Question 155426This question is from textbook
: x-13(square root)X+40=0 This question is from textbook

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
x-13%2Asqrt%28x%29%2B40+=+0 Add 13sqrt%28x%29 to both sides.
x+%2B+40+=++13sqrt%28x%29 Square both sides..
x%5E2%2B80x%2B1600+=+169x Subtract 169x from both sides.
x%5E2-89x%2B1600+=+0 Solve the quadratic equation by factoring.
%28x-25%29%28x-64%29+=+0 Apply the zero product property: If a*b = 0, then either a = 0 or b = 0 or both.
x-25+=+0 or x-64+=+0 so...
x+=+25 or x+=+64