SOLUTION: 18. Solve (rs)x-1=x-3 I have no idea on how to solve this problem and my head is beginning to hurt. Can someone help me please.

Question 59935: 18. Solve
(rs)x-1=x-3
I have no idea on how to solve this problem and my head is beginning to hurt. Can someone help me please.
Answer by chitra(359) (Show Source): You can put this solution on YOUR website!
The given expression is:

rs(x - 1) = x - 3

We remove the radical on the left hand side by squaring both sides of the given expression.

That is:

(x - 1) = (x - 3)^2

Expanding the right hand side by using the formula (a - b)^2, we get:

(x - 1) = x^2 - 6x + 9

Adding 1 - x to both sides of the above equation, we get:

x^2 - 6x + 9 + 1 - x = 0

x^2 - 7x + 10 = 0 [Adding the like terms, we get]

Using the method of Factorization, we get:

x^2 - 5x - 2x + 10 = 0

x(x - 5) - 2(x - 5) = 0

(x - 2)(x - 5) = 0

Thus, the values of x are 2 and 5.

RELATED QUESTIONS
Find an expression that represents it's perimeter. 3/4x,1/x^2, and 5/x^2 I have no... (answered by ankor@dixie-net.com)

Could someone show me how to solve this? It'll help me study for me exam since I missed... (answered by stanbon)

z=sqrt(x^2+y^2) I have no idea of how to solve this. Could someone please explain to me... (answered by solver91311)

Can someone help me solve this equation. I have no idea how to do it.... (answered by nerdybill,robertb,edjones)

Hi, I have no idea how to solve this problem. In fact, I'm completely confused...can... (answered by ewatrrr)

I have no idea how to solve this question sqrt2y^2 - 3y - 10 = y can someone help... (answered by longjonsilver)

I have never had to take algebra before and I have no idea how to solve this question,... (answered by vksarvepalli,Fombitz)

I tried to listen in class, but the teacher was talking way over my head, and I lost her. (answered by Alan3354,solver91311)

I'm confused on this problem, Solve: lnx - ln2 = 0 The answer is 2, but I have no idea... (answered by ikleyn)