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

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


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

Multiply qrst * x
qrstx + 1 = sqrt(x + 3)

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

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

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

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

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

Solving
1 = 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 + -3qrst = 3qrst + -3qrst

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

Add '-1' to each side of the equation.
1 + -1 + -3qrst = 0 + -1

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

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

Divide each side by '-3rst'.
q = 0.3333333333r-1s-1t-1

Simplifying
q = 0.3333333333r-1s-1t-1

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