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sqrtx-1=x-3

I need help

2007-06-16 06:13:56 · 5 answers · asked by Bianca B 1 in Science & Mathematics Mathematics

5 answers

sqrtx-1=x-3
sqrt x = x-2
Square both sides getting:
x = x^2-4x+4
x^2-5x +4 = 0
(x-4)(x-1)=0
x= 4 or x = 1

2007-06-16 06:26:02 · answer #1 · answered by ironduke8159 7 · 0 1

First off add 1 to both sides, to get the sqrt by itself.
sqrt(x)-1+1=x-3+1
sqrt(x) = x-2. Now square both sides.
(sqrt(x))^2=(x-2)^2
x=(x-2)(x-2). Now expand using "foil"
x=x^2-4x+4. Subtract x from both sides.
x-x=x^2-4x-x+4. Combine like terms.
0=x^2-5x+4. Factor the trinomial.
0=(x-4)(x-1). Solve each term for 0
x-4=0 or x-1=0
x=4 or x=1

2007-06-16 06:24:41 · answer #2 · answered by Anonymous · 0 0

Ans =1. sqrtx+(x-3)/2 sqrt x=0 or, 2x+(x-3)=0 (x not equals to 0) or,x=1

2016-05-17 09:09:52 · answer #3 · answered by ? 3 · 0 0

sqrt (x - 1) = x - 3; is that written properly?

square both sides of the equation

x - 1 = x^2 - 6x + 9
0 = x^2 - 7x + 10
0 = (x - 5)(x - 2)
x = 2 and 5

2007-06-16 06:30:00 · answer #4 · answered by jimbob 6 · 1 0

x-1 = (x-3)sq
x-1 = xsq - 6x + 9
0 = xsq -7x + 10
0 = (x-5)(x-2)
x=5 x=2

2007-06-16 06:18:06 · answer #5 · answered by Anonymous · 1 0

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