Algebra

Algebraic Manipulation

Algebraic Manipulation: Level 1 Challenges

         

x=y1y+1\large{\color{#3D99F6}x = \sqrt\frac{\color{#D61F06}y - 1}{\color{#D61F06}y +1}}
Express yy in terms of xx.

333333=n,n= ?\Large\sqrt[3]{3\sqrt[3]{3\sqrt[3]{3\cdots}}}=\sqrt{n} \quad, \quad n = \ ?

x=2+2+2+2x=\sqrt { 2+\sqrt { 2+\sqrt { 2+\sqrt { 2\ldots } } } }

What is the value of xx?

xxxxx...=2 \huge{ x^{x^{x^{x^{x^{.^{.^.}}}}}}=2}

Find the value of xx that satisfies the equation above.

12+12+12+12+...= ? \large \sqrt{12+\sqrt{12+\sqrt{12+\sqrt{12 + ...}}}}= \ ?

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