SOLUTION: the square root of x-1 +x=3

SOLUTION: the square root of x-1 +x=3

Algebra.Com

Question 265611: the square root of x-1 +x=3
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
sqrt(x-1)+x=3
sqrt(x-1)+x=3
sqrt(x-1)=3-x square both sides.
x-1=9-6x+x^2
x^2-6x+9-x+1=0
x^2-7x+10=0
(x-5)(x-2)=0
x-5=0
x=5 ans.
x-2=0
x=2 ans.
Proof:
sqrt(5-1)+5=3
sqrt4=3-5
-2=-2
sqrt(2-1)+2=3
sqrt1=3-2
1=1

RELATED QUESTIONS
If x = square root of 3 +square root of 2 divided by square root of 3 - square root of 2... (answered by Alan3354)

Solve The square root of x+1, Under the square root of 3=the square root of... (answered by edjones)

square root of 2x-1 (-) the square root of x-5 = 3 (answered by funmath)

Solve the following equation: square root of... (answered by wuwei96815)

What is The square root of 2x-1=... (answered by checkley75)

The Square Root of x(space)... (answered by Fombitz)

(square root of x+11)=(square root of... (answered by ilana)

1 over the square root of x over the square root of x plus 2 over the square root of x... (answered by Boreal)

(-1- square root 7i) and (-1+square root 7i) [x+1 square root 7i][x+1- square root 7i] (answered by josmiceli)