Solve x=frac{sqrt{1256}+8943^0+3125/5^5+sqrt{1}}{15-2^-1+(-1)^2058}

$$x = \frac { \sqrt { 1256 } + 8943 ^ { 0 } + \frac { 3125 } { 5 ^ { 5 } } + \sqrt { 1 } } { 15 - 2 ^ { - 1 } + ( - 1 ) ^ { 2058 } }$$

Solve for x

$$x = \frac{4 \sqrt{314} + 6}{31} \approx 2.480005825$$

Steps for Solving Linear Equation

Factor 1256=2^{2}\times 314. Rewrite the square root of the product \sqrt{2^{2}\times 314} as the product of square roots \sqrt{2^{2}}\sqrt{314}. Take the square root of 2^{2}.

$$x=\frac{2\sqrt{314}+8943^{0}+\frac{3125}{5^{5}}+\sqrt{1}}{15-2^{-1}+\left(-1\right)^{2058}}$$

Calculate 8943 to the power of 0 and get 1.

$$x=\frac{2\sqrt{314}+1+\frac{3125}{5^{5}}+\sqrt{1}}{15-2^{-1}+\left(-1\right)^{2058}}$$

Calculate 5 to the power of 5 and get 3125.

$$x=\frac{2\sqrt{314}+1+\frac{3125}{3125}+\sqrt{1}}{15-2^{-1}+\left(-1\right)^{2058}}$$

Divide 3125 by 3125 to get 1.

$$x=\frac{2\sqrt{314}+1+1+\sqrt{1}}{15-2^{-1}+\left(-1\right)^{2058}}$$

Add 1 and 1 to get 2.

$$x=\frac{2\sqrt{314}+2+\sqrt{1}}{15-2^{-1}+\left(-1\right)^{2058}}$$

Calculate the square root of 1 and get 1.

$$x=\frac{2\sqrt{314}+2+1}{15-2^{-1}+\left(-1\right)^{2058}}$$

Add 2 and 1 to get 3.

$$x=\frac{2\sqrt{314}+3}{15-2^{-1}+\left(-1\right)^{2058}}$$

Calculate 2 to the power of -1 and get \frac{1}{2}.

$$x=\frac{2\sqrt{314}+3}{15-\frac{1}{2}+\left(-1\right)^{2058}}$$

Subtract \frac{1}{2} from 15 to get \frac{29}{2}.

$$x=\frac{2\sqrt{314}+3}{\frac{29}{2}+\left(-1\right)^{2058}}$$

Calculate -1 to the power of 2058 and get 1.

$$x=\frac{2\sqrt{314}+3}{\frac{29}{2}+1}$$

Add \frac{29}{2} and 1 to get \frac{31}{2}.

$$x=\frac{2\sqrt{314}+3}{\frac{31}{2}}$$

Divide each term of 2\sqrt{314}+3 by \frac{31}{2} to get \frac{2\sqrt{314}}{\frac{31}{2}}+\frac{3}{\frac{31}{2}}.

$$x=\frac{2\sqrt{314}}{\frac{31}{2}}+\frac{3}{\frac{31}{2}}$$

Divide 2\sqrt{314} by \frac{31}{2} to get \frac{4}{31}\sqrt{314}.

$$x=\frac{4}{31}\sqrt{314}+\frac{3}{\frac{31}{2}}$$

Divide 3 by \frac{31}{2} by multiplying 3 by the reciprocal of \frac{31}{2}.

$$x=\frac{4}{31}\sqrt{314}+3\times \frac{2}{31}$$

Multiply 3 and \frac{2}{31} to get \frac{6}{31}.

$$x=\frac{4}{31}\sqrt{314}+\frac{6}{31}$$

Assign x

$$x≔\frac{4\sqrt{314}+6}{31}$$