SOLUTION: What's the exact solution of x-7(squareroot x)+12=0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: What's the exact solution of x-7(squareroot x)+12=0      Log On


   

Question 816576: What's the exact solution of x-7(squareroot x)+12=0
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
x-7sqrt+%28x%29%2B12=0
x%2B12=7sqrt+%28x%29......square both sides
%28x%2B12%29%5E2=%287sqrt+%28x%29%29%5E2
x%5E2%2B24x%2B144=49x+
x%5E2%2B24x%2B144-49x+=0
x%5E2-25x%2B144+=0..................write -25x as -16x-9x
x%5E2-16x-9x%2B144+=0......group
%28x%5E2-16x%29-%289x-144%29+=0
x%28x-16%29-9%28x-16%29+=0
%28x-16%29%28x-9%29+=+0
solutions:
if x-16+=+0 => highlight%28x=16%29
if x-9+=+0 => highlight%28x=9%29

+graph%28+600%2C+600%2C+-5%2C+20%2C+-5%2C+10%2C+x-7sqrt+%28x%29%2B12%29+