sqrt(p)+sqrt(q)=1

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Solution for sqrt(p)+sqrt(q)=1 equation: 


Simplifying
sqrt(p) + sqrt(q) = 1

Multiply qrst * p
pqrst + sqrt(q) = 1

Multiply qrst * q
pqrst + q2rst = 1

Solving
pqrst + q2rst = 1

Solving for variable 'p'.

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

Add '-1q2rst' to each side of the equation.
pqrst + q2rst + -1q2rst = 1 + -1q2rst

Combine like terms: q2rst + -1q2rst = 0
pqrst + 0 = 1 + -1q2rst
pqrst = 1 + -1q2rst

Divide each side by 'qrst'.
p = q-1r-1s-1t-1 + -1q

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

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