Questions on Algebra: Quadratic Equation answered by real tutors!

Algebra ->  Algebra -> Questions on Algebra: Quadratic Equation answered by real tutors!     (Log On)


Question 155426This question is from textbook
: x-13(square root)X+40=0This question is from textbook
: x-13(square root)X+40=0
Answer by Earlsdon(3716) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
x-13*sqrt(x)+40 = 0 Add 13sqrt(x) to both sides.
x + 40 = 13sqrt(x) Square both sides..
x^2+80x+1600 = 169x Subtract 169x from both sides.
x^2-89x+1600 = 0 Solve the quadratic equation by factoring.
(x-25)(x-64) = 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