sqrt(x-2)+1=sqrt(x-3)

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Solution for sqrt(x-2)+1=sqrt(x-3) equation:


Simplifying
sqrt(x + -2) + 1 = sqrt(x + -3)

Reorder the terms:
qrst(-2 + x) + 1 = sqrt(x + -3)
(-2 * qrst + x * qrst) + 1 = sqrt(x + -3)
(-2qrst + qrstx) + 1 = sqrt(x + -3)

Reorder the terms:
1 + -2qrst + qrstx = sqrt(x + -3)

Reorder the terms:
1 + -2qrst + qrstx = qrst(-3 + x)
1 + -2qrst + qrstx = (-3 * qrst + x * qrst)
1 + -2qrst + qrstx = (-3qrst + qrstx)

Add '-1qrstx' to each side of the equation.
1 + -2qrst + qrstx + -1qrstx = -3qrst + qrstx + -1qrstx

Combine like terms: qrstx + -1qrstx = 0
1 + -2qrst + 0 = -3qrst + qrstx + -1qrstx
1 + -2qrst = -3qrst + qrstx + -1qrstx

Combine like terms: qrstx + -1qrstx = 0
1 + -2qrst = -3qrst + 0
1 + -2qrst = -3qrst

Solving
1 + -2qrst = -3qrst

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '3qrst' to each side of the equation.
1 + -2qrst + 3qrst = -3qrst + 3qrst

Combine like terms: -2qrst + 3qrst = 1qrst
1 + 1qrst = -3qrst + 3qrst

Combine like terms: -3qrst + 3qrst = 0
1 + 1qrst = 0

Add '-1' to each side of the equation.
1 + -1 + 1qrst = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1qrst = 0 + -1
1qrst = 0 + -1

Combine like terms: 0 + -1 = -1
1qrst = -1

Divide each side by '1rst'.
q = -1r-1s-1t-1

Simplifying
q = -1r-1s-1t-1

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