SOLUTION: x+5(squareroot x)-10=2(squareroot x)

Question 180271: x+5(squareroot x)-10=2(squareroot x)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
=
these are like terms so subtract from both sides (gets rid of the radical on the left)
x - 10 =
:
x - 10 =
Square both sides
(x-10)^2 = 9x
FOIL
x^2 - 20x + 100 = 9x
;
x^2 - 20x - 9x + 100 = 0
:
x^2 - 29x + 100 = 0
factors to:
(x-4)(x-25) = 0
Two solutions
x = +4
x= +25
:
Important to check each solution in the original equation
for x = 4
=
4 + 5(2) - 10 = 2(2)
4 = 4; a good solution
;
for x = 25
=
25 + 5(5) - 10 = 2(5)
Not a good solution
:
x = 4 is the only solution

RELATED QUESTIONS
Problem: (squareroot)x/(squareroot)x - 3 PLUS... (answered by solver91311)

squareroot(x-2)- squareroot(x-2)=... (answered by ranjithraghuram)

solve. x=(x-2)squareroot of... (answered by RAY100)

5=squareroot[(y-5)^2+(x-7)^2] (answered by solver91311)

squareroot x + squareroot x-5 = 5 Solve equation & check for extraneous... (answered by stanbon)

squareroot x + squareroot x-5 = 5 Solve equation & check for extraneous... (answered by Edwin McCravy)

4(squareroot... (answered by tutor_paul)

Solve for x, and show work.... squareroot of 2 times squareroot of 3 times x =... (answered by checkley71)

The squareroot of 3x-6=the squareroot of... (answered by MathLover1)