|
Question 268365: i need help finding x in the equation: 2(squareroot x) + 3 = x
Found 5 solutions by mananth, ikleyn, timofer, josgarithmetic, MathTherapy:
Answer by mananth(16949)   (Show Source):
You can put this solution on YOUR website! i need help finding x in the equation: 2(squareroot x) + 3 = x
2sqrtx +3=x
2sqrtx=x-3
square both the sides of the equation
4x=(x-3)^2
4x=x^2-6x+9
x^2-4x-6x-9=0
x^2-10x-9=0
x^2-9x-x+9=0
x(x-9)-1(x-9)=0
(x-1)(x-9)=0
Answer by ikleyn(53742)  (Show Source):
You can put this solution on YOUR website! .
i need help finding x in the equation: 2(squareroot x) + 3 = x
~~~~~~~~~~~~~~~~~~~~~
In the post by @mananth, the solution is incomplete and is written inaccurately;
the answer absents, and from his post, a reader can make wrong conclusion.
So, I came to present an accurate and complete solution.
2sqrtx +3=x
2sqrtx=x-3
square both the sides of the equation
4x=(x-3)^2
4x=x^2-6x+9
x^2-4x-6x+9=0
x^2-10x+9=0
x^2-9x-x+9=0
x(x-9)-1(x-9)=0
(x-1)(x-9)=0
The roots to the last equation are x= 1 and x= 9.
The check shows that x= 9 satisfies the original equation,
while x= 1 is an extraneous solution and should be rejected.
ANSWER. The given equation has a unique solution x = 9.
Solved completely and accurately (as it should be done).
Answer by timofer(155)  (Show Source):
Answer by josgarithmetic(39790) (Show Source):
Answer by MathTherapy(10801)  (Show Source):
You can put this solution on YOUR website!
i need help finding x in the equation: 2(squareroot x) + 3 = x
**************************************************************
The answer to this problem by one of the "respondents," timofer(153) AKA josgarithmetic(39765) is WRONG! See correct answer by @IKLEYN.
All other answers are BOGUS/FAKES, and should be REJECTED/IGNORED!
His answer: "( -------------check if either or both will work...."
BEWARE! You'll be checking from now to eternity and NEITHER would ever work!!
|
|
|
| |
