query: How can I obtain a solution for the equation $a^2 + b^2 = c^2 + 1$?
positive_passages.docid: 88794
positive_passages.text: Integral solutions of hyperboloid $x^2+y^2-z^2=1$
negative_passages.docid: 4178
negative_passages.text: Solve $f(x)f(2x^2) = f(2x^3+x)$
negative_passages.docid: 79
negative_passages.text: Find $a$, $b$ and $c$ that satisfy the following equations
negative_passages.docid: 80817
negative_passages.text: Solving equations of the form $ae^x + bx +c =0$
negative_passages.docid: 123867
negative_passages.text: Solve $(a + b\sin(x))\sin(x) = p$ for $x$
negative_passages.docid: 128091
negative_passages.text: Find the range of possible values of $\sqrt{a^2+a+1}-\sqrt{a^2-a+1}$
negative_passages.docid: 23112
negative_passages.text: Solving an equation with rational expressions (step by step)
negative_passages.docid: 103274
negative_passages.text: Integer solutions to the equation $a^3+b^3+c^3=30$
negative_passages.docid: 128576
negative_passages.text: How to find $x^4+y^4+z^4$ from equation?
negative_passages.docid: 20491
negative_passages.text: How to solve this equation $x^{2}=2^{x}$?
negative_passages.docid: 31575
negative_passages.text: Solving trigonometric equations of the form $a\sin x + b\cos x = c$
negative_passages.docid: 41689
negative_passages.text: Find all solutions: $x^2 + 2y^2 = z^2$
negative_passages.docid: 20705
negative_passages.text: On equations $m^2+1=5^n$
negative_passages.docid: 33105
negative_passages.text: Find the value of $a^2-b^2+c^2$
negative_passages.docid: 20834
negative_passages.text: Integer solutions to $c=a^2-b^2$
negative_passages.docid: 46668
negative_passages.text: How to find integer solutions to $M^2=5N^2+2N+1$?
negative_passages.docid: 89705
negative_passages.text: How to solve $a_n = 2a_{n-1} + 1, a_0 = 0, a_1 = 1$?