SOLUTION: help me please i am able to do + but not - sqrt{{{x-1}}}=x-3

Algebra.Com
Question 79040: help me please i am able to do + but not -
sqrt=x-3
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!


Square both sides



Foil the right side

Get all terms to one side
Use the quadratic formula to solve for x
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=9 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 5, 2. Here's your graph:


So we get 2 possible solutions:
x=2, x=5
However, we need to check whether or not they work
Plug in x=2


Since this is not true, we must discard this possible solution
Plug in x=5


Since this answer works, this is the only solution
So our answer is

Notice the 2 graphs only intersect at one spot, which is (5,2)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
sqrt=x-3
Square both sides to get:
x-1=(x-3)^2
x-1=x^2-6x+9
x^2-7x+10=0
Factor to get:
(x-5)(x-2)=0
x=5 or x=2
-------------------------
Cheers,
Stan H.
RELATED QUESTIONS

i am not able to solve this question please help me......... (answered by josmiceli)
please help me solve this logarithm for x: y-3=(1/2)^x-2 I am sorry but I... (answered by ankor@dixie-net.com)
Hello! Please help me solve this composite function. What is g(f(x))where f(x)= 1/SQURT... (answered by dabanfield)
solve for x: {{{ sqrt(x)-4=sqrt(9x)}}} my teacher gave me the answer, and she said it... (answered by stanbon)
Can someone help me with this i've tried and i am not ending up with the right solutions. (answered by tutorcecilia)
I posted this problem and someone was able to proved the algebraic equation for it, but... (answered by scott8148,actuary,jojo14344)
{{{sqrt X+2 - sqrt X-3 = sqrt X-6}}} This is the problem I am trying to work out. I... (answered by ankor@dixie-net.com)
please help me solve this: i am not sure what to do. (1/3)-(2/x-2)+(1/x+1) Thank you... (answered by stanbon)
How do I write the expression as the logarithm of a single quantity for : {{{ ln 2 +... (answered by Alan3354)